{"id":"https://openalex.org/W7214897904","doi":"https://doi.org/10.12958/adm2506","title":"On certain classes of commutative g-dimonoids","display_name":"On certain classes of commutative g-dimonoids","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7214897904","doi":"https://doi.org/10.12958/adm2506"},"language":"en","primary_location":{"id":"doi:10.12958/adm2506","doi":"https://doi.org/10.12958/adm2506","is_oa":true,"landing_page_url":"https://doi.org/10.12958/adm2506","pdf_url":"https://admjournal.luguniv.edu.ua/index.php/adm/article/download/2506/pdf","source":{"id":"https://openalex.org/S4306501371","display_name":"Algebra and Discrete Mathematics","issn_l":"1726-3255","issn":["1726-3255","2415-721X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/I2800458533","host_organization_name":"University of Luhansk","host_organization_lineage":["https://openalex.org/I2800458533"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algebra and Discrete Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://admjournal.luguniv.edu.ua/index.php/adm/article/download/2506/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137446546","display_name":"Volodymyr Gavrylkiv","orcid":"https://orcid.org/0000-0002-6256-3672","observed_orcids":["https://orcid.org/0000-0002-6256-3672"]},"institutions":[{"id":"https://openalex.org/I4210155269","display_name":"Vasyl Stefanyk Carpathian National University","ror":"https://ror.org/0576vga12","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210155269"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Volodymyr Gavrylkiv","raw_affiliation_strings":["Vasyl Stefanyk Carpathian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vasyl Stefanyk Carpathian National University","institution_ids":["https://openalex.org/I4210155269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153582196","display_name":"Inna Hlushak","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210155269","display_name":"Vasyl Stefanyk Carpathian National University","ror":"https://ror.org/0576vga12","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210155269"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Inna Hlushak","raw_affiliation_strings":["Vasyl Stefanyk Carpathian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vasyl Stefanyk Carpathian National University","institution_ids":["https://openalex.org/I4210155269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036292020","display_name":"K. M. Koporkh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210155269","display_name":"Vasyl Stefanyk Carpathian National University","ror":"https://ror.org/0576vga12","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210155269"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Kateryna Koporkh","raw_affiliation_strings":["Vasyl Stefanyk Carpathian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vasyl Stefanyk Carpathian National University","institution_ids":["https://openalex.org/I4210155269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033876432","display_name":"N. Mazurenko","orcid":"https://orcid.org/0000-0002-1402-6979","observed_orcids":["https://orcid.org/0000-0002-1402-6979"]},"institutions":[{"id":"https://openalex.org/I4210155269","display_name":"Vasyl Stefanyk Carpathian National University","ror":"https://ror.org/0576vga12","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210155269"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Natalia Mazurenko","raw_affiliation_strings":["Vasyl Stefanyk Carpathian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vasyl Stefanyk Carpathian National University","institution_ids":["https://openalex.org/I4210155269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090558369","display_name":"Oksana Mykytsey","orcid":"https://orcid.org/0000-0001-7958-5950","observed_orcids":["https://orcid.org/0000-0001-7958-5950"]},"institutions":[{"id":"https://openalex.org/I4210155269","display_name":"Vasyl Stefanyk Carpathian National University","ror":"https://ror.org/0576vga12","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210155269"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oksana Mykytsey","raw_affiliation_strings":["Vasyl Stefanyk Carpathian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vasyl Stefanyk Carpathian National University","institution_ids":["https://openalex.org/I4210155269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210155269"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.67394889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"1","first_page":"13","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8838000297546387,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8838000297546387,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.07890000194311142,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.011500000022351742,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/isomorphism-problem","display_name":"isomorphism problem","score":0.890999972820282}],"concepts":[{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7714999914169312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7307000160217285},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.6485000252723694},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6373999714851379},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5217999815940857},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5041000247001648},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46650001406669617},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46480000019073486},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43790000677108765},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.4357999861240387},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.43160000443458557},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.40849998593330383},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.36719998717308044},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36570000648498535},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.12958/adm2506","doi":"https://doi.org/10.12958/adm2506","is_oa":true,"landing_page_url":"https://doi.org/10.12958/adm2506","pdf_url":"https://admjournal.luguniv.edu.ua/index.php/adm/article/download/2506/pdf","source":{"id":"https://openalex.org/S4306501371","display_name":"Algebra and Discrete Mathematics","issn_l":"1726-3255","issn":["1726-3255","2415-721X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/I2800458533","host_organization_name":"University of Luhansk","host_organization_lineage":["https://openalex.org/I2800458533"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algebra and Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ojs.admjournal.luguniv.edu.ua:article/2506","doi":null,"is_oa":true,"landing_page_url":"https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2506","pdf_url":null,"source":{"id":"https://openalex.org/S4306501371","display_name":"Algebra and Discrete Mathematics","issn_l":"1726-3255","issn":["1726-3255","2415-721X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/I2800458533","host_organization_name":"University of Luhansk","host_organization_lineage":["https://openalex.org/I2800458533"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1726-3255","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2609.37933","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37933","pdf_url":"https://arxiv.org/pdf/2609.37933","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.37933","doi":"https://doi.org/10.48550/arxiv.2609.37933","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37933","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.12958/adm2506","doi":"https://doi.org/10.12958/adm2506","is_oa":true,"landing_page_url":"https://doi.org/10.12958/adm2506","pdf_url":"https://admjournal.luguniv.edu.ua/index.php/adm/article/download/2506/pdf","source":{"id":"https://openalex.org/S4306501371","display_name":"Algebra and Discrete Mathematics","issn_l":"1726-3255","issn":["1726-3255","2415-721X"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/I2800458533","host_organization_name":"University of Luhansk","host_organization_lineage":["https://openalex.org/I2800458533"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algebra and Discrete Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214897904.pdf","grobid_xml":"https://content.openalex.org/works/W7214897904.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1487875360","https://openalex.org/W1594152547","https://openalex.org/W1594760941","https://openalex.org/W1985426084","https://openalex.org/W2073474730","https://openalex.org/W2093034190","https://openalex.org/W2094353103","https://openalex.org/W2479660894","https://openalex.org/W2529813863","https://openalex.org/W2536568362","https://openalex.org/W2586092152","https://openalex.org/W2809029009","https://openalex.org/W2997840545","https://openalex.org/W3131076918","https://openalex.org/W3137667176","https://openalex.org/W4255110905","https://openalex.org/W4319752871","https://openalex.org/W4400016953","https://openalex.org/W4408676978","https://openalex.org/W4417181518","https://openalex.org/W4417502377","https://openalex.org/W7122422915","https://openalex.org/W7169885454","https://openalex.org/W7171787942","https://openalex.org/W7172280448","https://openalex.org/W7213977066"],"related_works":["https://openalex.org/W7172280448","https://openalex.org/W7004925302","https://openalex.org/W2743066887","https://openalex.org/W4417181518","https://openalex.org/W2522941377","https://openalex.org/W7037018378","https://openalex.org/W7169885454","https://openalex.org/W2563705073","https://openalex.org/W7216915826","https://openalex.org/W3131076918"],"abstract_inverted_index":{"We":[0,19],"study":[1],"\\(g\\)-dimonoids,":[2,37],"which":[3],"are":[4],"algebraic":[5],"structures":[6],"equipped":[7],"with":[8],"two":[9],"associative":[10],"binary":[11],"operations":[12],"satisfying":[13],"a":[14,21,54],"prescribed":[15],"system":[16],"of":[17,23,28,34,49,57,61],"axioms.":[18],"develop":[20],"construction":[22],"\\(g\\)-dimonoids":[24,60],"based":[25],"on":[26],"inflations":[27],"semigroups,":[29],"construct":[30],"several":[31],"new":[32],"classes":[33],"\\(2\\)-dinilpotent":[35],"commutative":[36,59],"and":[38],"investigate":[39],"the":[40],"isomorphism":[41],"problem":[42],"for":[43],"these":[44,50],"classes.":[45],"As":[46],"an":[47],"application":[48],"results,":[51],"we":[52],"obtain":[53],"structural":[55],"description":[56],"all":[58],"order":[62],"\\(3\\),":[63],"up":[64],"to":[65],"isomorphism.":[66]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-01T00:00:00"}