{"id":"https://openalex.org/W4397005367","doi":"https://doi.org/10.1142/s1793557124500578","title":"A class of integer 3 \u00d7 3 matrices related to numerical semigroups with embedding dimension 4","display_name":"A class of integer 3 \u00d7 3 matrices related to numerical semigroups with embedding dimension 4","publication_year":2024,"publication_date":"2024-05-17","ids":{"openalex":"https://openalex.org/W4397005367","doi":"https://doi.org/10.1142/s1793557124500578"},"language":"en","primary_location":{"id":"doi:10.1142/s1793557124500578","doi":"https://doi.org/10.1142/s1793557124500578","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793557124500578","pdf_url":null,"source":{"id":"https://openalex.org/S17334899","display_name":"Asian-European Journal of Mathematics","issn_l":"1793-7183","issn":["1793-7183","1793-5571"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-3"],"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":"Asian-European Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5071660452","display_name":"Merita Bajrami","orcid":"https://orcid.org/0009-0000-4615-6295","observed_orcids":["https://orcid.org/0009-0000-4615-6295"]},"institutions":[{"id":"https://openalex.org/I124793430","display_name":"State University of Tetova","ror":"https://ror.org/01e4kx996","country_code":"MK","type":"education","lineage":["https://openalex.org/I124793430"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Merita Bajrami","raw_affiliation_strings":["Faculty of Natural Sciences and Mathematics, University of Tetovo, Str.Ilinden, nn. 1200, Tetova, Republic of North Macedonia"],"raw_orcid":"https://orcid.org/0009-0000-4615-6295","affiliations":[{"raw_affiliation_string":"Faculty of Natural Sciences and Mathematics, University of Tetovo, Str.Ilinden, nn. 1200, Tetova, Republic of North Macedonia","institution_ids":["https://openalex.org/I124793430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053558373","display_name":"Don\u010do Dimovski","orcid":"https://orcid.org/0000-0002-3607-6803","observed_orcids":["https://orcid.org/0000-0002-3607-6803"]},"institutions":[{"id":"https://openalex.org/I174143326","display_name":"Macedonian Academy of Sciences and Arts","ror":"https://ror.org/003jsdw96","country_code":"MK","type":"education","lineage":["https://openalex.org/I174143326"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Don\u010do Dimovski","raw_affiliation_strings":["Macedonian Academy of Sciences and Arts, Boulevard Krste Misirkov 2 Skopje, Republic of North Macedonia"],"raw_orcid":"https://orcid.org/0000-0002-1017-2258","affiliations":[{"raw_affiliation_string":"Macedonian Academy of Sciences and Arts, Boulevard Krste Misirkov 2 Skopje, Republic of North Macedonia","institution_ids":["https://openalex.org/I174143326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015220814","display_name":"Violeta Angjelkoska","orcid":"https://orcid.org/0000-0002-6882-401X","observed_orcids":["https://orcid.org/0000-0002-6882-401X"]},"institutions":[{"id":"https://openalex.org/I139806458","display_name":"American University of Europe","ror":"https://ror.org/00q7dn693","country_code":"MK","type":"education","lineage":["https://openalex.org/I139806458"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Violeta Angjelkoska","raw_affiliation_strings":["Faculty of Informatics American University of Europe \u2014 FON, Kiro Gligorov 5 Skopje, Republic of North Macedonia"],"raw_orcid":"https://orcid.org/0000-0002-6882-401X","affiliations":[{"raw_affiliation_string":"Faculty of Informatics American University of Europe \u2014 FON, Kiro Gligorov 5 Skopje, Republic of North Macedonia","institution_ids":["https://openalex.org/I139806458"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9984999895095825,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9984999895095825,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0003000000142492354,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/numerical-semigroups","display_name":"numerical semigroups","score":0.9350000023841858},{"id":"https://openalex.org/keywords/integer-matrices","display_name":"integer matrices","score":0.6890000104904175},{"id":"https://openalex.org/keywords/apery-set","display_name":"Ap\u00e9ry set","score":0.9340000152587891}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7338982820510864},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7084468603134155},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6871699094772339},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6525009274482727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.620251476764679},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4227450489997864},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37884455919265747},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33910417556762695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15642979741096497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05437648296356201},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793557124500578","doi":"https://doi.org/10.1142/s1793557124500578","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793557124500578","pdf_url":null,"source":{"id":"https://openalex.org/S17334899","display_name":"Asian-European Journal of Mathematics","issn_l":"1793-7183","issn":["1793-7183","1793-5571"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-3"],"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":"Asian-European Journal of Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W3183328515","https://openalex.org/W4229053136","https://openalex.org/W4237442181","https://openalex.org/W4313475568"],"related_works":["https://openalex.org/W4416459159","https://openalex.org/W7157836349","https://openalex.org/W2587741252","https://openalex.org/W1979375684","https://openalex.org/W4229053136","https://openalex.org/W3083449979","https://openalex.org/W7096595336","https://openalex.org/W4245255305","https://openalex.org/W4313475568","https://openalex.org/W3158048735"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,59,73],"this":[3,60],"paper":[4],"is":[5],"to":[6,17,69,78],"present":[7],"a":[8,54],"class":[9],"integer":[11],"[Formula:":[12,28,32,37,40,43,46,50,56,70,79],"see":[13,29,33,38,41,44,47,51,57,71,80],"text]":[14,30,34,48,58],"matrices":[15],"related":[16,77],"numerical":[18,75],"semigroups":[19],"with":[20,67],"embedding":[21],"dimension":[22],"4,":[23],"generated":[24],"by":[25],"four":[26],"integers":[27],"and":[31,49],"such":[35],"that":[36],"text],":[39,42,45,72],"text].":[52,81],"For":[53],"matrix":[55],"class,":[61],"we":[62],"describe":[63],"the":[64,74],"Ap\u00e9ry":[65],"set":[66],"respect":[68],"semigroup":[76]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2024-05-18T00:00:00"}