{"id":"https://openalex.org/W4406808107","doi":"https://doi.org/10.1142/s0218196725500080","title":"Isotypical equivalence of periodic Abelian groups","display_name":"Isotypical equivalence of periodic Abelian groups","publication_year":2025,"publication_date":"2025-01-24","ids":{"openalex":"https://openalex.org/W4406808107","doi":"https://doi.org/10.1142/s0218196725500080"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196725500080","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500080","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/A5029284931","display_name":"E. I. Bunina","orcid":"https://orcid.org/0009-0004-2311-7778"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Elena Bunina","raw_affiliation_strings":["Department of Mathematics, Bar\u2013Ilan University, Ramat Gan 5290002, Israel"],"raw_orcid":"https://orcid.org/0009-0004-2311-7778","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar\u2013Ilan University, Ramat Gan 5290002, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029284931"],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":null,"apc_paid":null,"fwci":3.4961,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85016726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"35","issue":"03","first_page":"357","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9682000279426575,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9682000279426575,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9366000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9540469646453857},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7689527273178101},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6401680707931519},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5672283172607422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33940666913986206},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3207974433898926}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9540469646453857},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7689527273178101},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6401680707931519},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5672283172607422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33940666913986206},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3207974433898926}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196725500080","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500080","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/W296038034","https://openalex.org/W1026721552","https://openalex.org/W1489438843","https://openalex.org/W2005047182","https://openalex.org/W2005660208","https://openalex.org/W2036905347","https://openalex.org/W2079536514","https://openalex.org/W2092937228","https://openalex.org/W2892170881","https://openalex.org/W4401269229"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2378598099","https://openalex.org/W2611275940","https://openalex.org/W2367539883","https://openalex.org/W2980963558","https://openalex.org/W4206878504","https://openalex.org/W2324609820","https://openalex.org/W15871775","https://openalex.org/W2159956116","https://openalex.org/W4313052010"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,31,36],"complete":[4],"set":[5],"of":[6,20,23,35,38],"invariants":[7],"that":[8],"characterize":[9],"isotypically":[10,40],"equivalent":[11,41],"Abelian":[12,43],"periodic":[13],"groups":[14,27],"is":[15,45],"provided.":[16],"Additionally,":[17],"all":[18],"types":[19],"standard":[21],"tuples":[22],"elements":[24],"in":[25],"these":[26],"are":[28],"described.":[29],"As":[30],"corollary,":[32],"an":[33],"example":[34],"continuum":[37],"non-isomorphic":[39],"countable":[42],"p-groups":[44],"given.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
