{"id":"https://openalex.org/W2768505255","doi":"https://doi.org/10.1142/s0218196718500042","title":"Parametrizing numerical semigroups with multiplicity up to 5","display_name":"Parametrizing numerical semigroups with multiplicity up to 5","publication_year":2017,"publication_date":"2017-11-28","ids":{"openalex":"https://openalex.org/W2768505255","doi":"https://doi.org/10.1142/s0218196718500042","mag":"2768505255"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500042","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218196718500042","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S0218196718500042","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":true,"oa_status":"bronze","oa_url":"https://www.worldscientific.com/doi/pdf/10.1142/S0218196718500042","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038543493","display_name":"Hali\u0307l \u0130brahi\u0307m Karaka\u015f","orcid":"https://orcid.org/0000-0003-1185-416X"},"institutions":[{"id":"https://openalex.org/I188740104","display_name":"Ba\u015fkent University","ror":"https://ror.org/02v9bqx10","country_code":"TR","type":"education","lineage":["https://openalex.org/I188740104"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Halil \u0130brahim Karaka\u015f","raw_affiliation_strings":["Faculty of Commercial Sciences, Ba\u015fkent University, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Faculty of Commercial Sciences, Ba\u015fkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I188740104"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038543493"],"corresponding_institution_ids":["https://openalex.org/I188740104"],"apc_list":null,"apc_paid":null,"fwci":1.1522,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76516544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"28","issue":"01","first_page":"69","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9891999959945679,"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/mathematics","display_name":"Mathematics","score":0.8874228000640869},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.882571280002594},{"id":"https://openalex.org/keywords/numerical-semigroup","display_name":"Numerical semigroup","score":0.8054805994033813},{"id":"https://openalex.org/keywords/special-classes-of-semigroups","display_name":"Special classes of semigroups","score":0.492605984210968},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4515296220779419},{"id":"https://openalex.org/keywords/krohn\u2013rhodes-theory","display_name":"Krohn\u2013Rhodes theory","score":0.44389843940734863},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.3887229561805725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26289451122283936}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8874228000640869},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.882571280002594},{"id":"https://openalex.org/C2779628518","wikidata":"https://www.wikidata.org/wiki/Q7069664","display_name":"Numerical semigroup","level":3,"score":0.8054805994033813},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.492605984210968},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4515296220779419},{"id":"https://openalex.org/C30397308","wikidata":"https://www.wikidata.org/wiki/Q6438788","display_name":"Krohn\u2013Rhodes theory","level":4,"score":0.44389843940734863},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.3887229561805725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26289451122283936}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196718500042","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218196718500042","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S0218196718500042","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":{"id":"doi:10.1142/s0218196718500042","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s0218196718500042","pdf_url":"https://www.worldscientific.com/doi/pdf/10.1142/S0218196718500042","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2768505255.pdf","grobid_xml":"https://content.openalex.org/works/W2768505255.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1975587905","https://openalex.org/W1980041466","https://openalex.org/W1982536303","https://openalex.org/W1983452864","https://openalex.org/W2088396055","https://openalex.org/W2108958829","https://openalex.org/W2963775417","https://openalex.org/W4237442181"],"related_works":["https://openalex.org/W2007259017","https://openalex.org/W4297779646","https://openalex.org/W1833412956","https://openalex.org/W2236302362","https://openalex.org/W2505375030","https://openalex.org/W2115479925","https://openalex.org/W1999881600","https://openalex.org/W3193582865","https://openalex.org/W2940116067","https://openalex.org/W2768505255"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"give":[4],"parametrizations":[5,25,42],"in":[6],"terms":[7],"of":[8,12,26,50,55,61],"the":[9,48,53,59],"Kunz":[10],"coordinates":[11],"numerical":[13,32,51,65],"semigroups":[14,33,57,66],"with":[15,34,67],"multiplicity":[16,35,68],"up":[17,36,69],"to":[18,37,45,70],"[Formula:":[19,38,71],"see":[20,39,72],"text].":[21,40],"We":[22],"also":[23,43],"obtain":[24],"MED":[27,56],"semigroups,":[28,52],"symmetric":[29,62],"and":[30,58,63,74],"pseudo-symmetric":[31,64],"These":[41],"lead":[44],"formulas":[46],"for":[47],"number":[49,54,60],"text]":[73],"given":[75],"conductor.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}