{"id":"https://openalex.org/W4323266818","doi":"https://doi.org/10.1142/s0218196723500248","title":"On retracts determinating commutative trusses","display_name":"On retracts determinating commutative trusses","publication_year":2023,"publication_date":"2023-03-05","ids":{"openalex":"https://openalex.org/W4323266818","doi":"https://doi.org/10.1142/s0218196723500248"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196723500248","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196723500248","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021322396","display_name":"Ryszard Andruszkiewicz","orcid":"https://orcid.org/0000-0002-6144-2078"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"R. R. Andruszkiewicz","raw_affiliation_strings":["Institute of Mathematics, University of Bia\u0142ystok, Cio\u0142kowskiego 1M, 15-245 Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Bia\u0142ystok, Cio\u0142kowskiego 1M, 15-245 Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I245364917","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070333358","display_name":"K. Pryszczepko","orcid":"https://orcid.org/0000-0002-3909-8354"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"K. Pryszczepko","raw_affiliation_strings":["Institute of Mathematics, University of Bia\u0142ystok, Cio\u0142kowskiego 1M, 15-245 Bia\u0142ystok, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Bia\u0142ystok, Cio\u0142kowskiego 1M, 15-245 Bia\u0142ystok, Poland","institution_ids":["https://openalex.org/I245364917","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070333358"],"corresponding_institution_ids":["https://openalex.org/I245364917","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06168967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"03","first_page":"499","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8787523508071899},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7541888952255249},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.7517656683921814},{"id":"https://openalex.org/keywords/retract","display_name":"Retract","score":0.6116755604743958},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6029973030090332},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5781862735748291},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4727771282196045},{"id":"https://openalex.org/keywords/truss","display_name":"Truss","score":0.4599555730819702},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4187273383140564},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.41501182317733765},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3401726186275482},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32452550530433655},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18537649512290955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11010560393333435}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8787523508071899},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7541888952255249},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.7517656683921814},{"id":"https://openalex.org/C2776055716","wikidata":"https://www.wikidata.org/wiki/Q7316893","display_name":"Retract","level":2,"score":0.6116755604743958},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6029973030090332},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5781862735748291},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4727771282196045},{"id":"https://openalex.org/C173534245","wikidata":"https://www.wikidata.org/wiki/Q1328068","display_name":"Truss","level":2,"score":0.4599555730819702},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4187273383140564},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.41501182317733765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3401726186275482},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32452550530433655},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18537649512290955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11010560393333435},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196723500248","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0218196723500248","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W591591544","https://openalex.org/W1985885288","https://openalex.org/W1994994498","https://openalex.org/W2007152098","https://openalex.org/W2045777738","https://openalex.org/W2962686441","https://openalex.org/W2980946321","https://openalex.org/W3001360444","https://openalex.org/W3108688677","https://openalex.org/W4205727899"],"related_works":["https://openalex.org/W2949208393","https://openalex.org/W4308298797","https://openalex.org/W3087190325","https://openalex.org/W4318719040","https://openalex.org/W4242834385","https://openalex.org/W4286787883","https://openalex.org/W2981454059","https://openalex.org/W2900394746","https://openalex.org/W4255963200","https://openalex.org/W4312973762"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"devoted":[3],"to":[4],"study":[5],"some":[6],"relationships":[7],"of":[8,42],"trusses":[9],"with":[10,21,33],"rings.":[11],"We":[12,29],"characterize":[13],"abelian":[14],"groups":[15],"A":[16,23],"such":[17],"that":[18],"every":[19],"truss":[20],"retract":[22],"has":[24],"exactly":[25],"two":[26],"non-commutative":[27,37],"multiplications.":[28],"describe":[30],"commutative":[31],"rings":[32],"nontrivial":[34],"multiplication":[35],"having":[36],"extension":[38],"by":[39],"the":[40],"ring":[41],"integers.":[43]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
