{"id":"https://openalex.org/W4396614897","doi":"https://doi.org/10.1142/s0218196724500231","title":"Super Bassian and nearly generalized Bassian Abelian groups","display_name":"Super Bassian and nearly generalized Bassian Abelian groups","publication_year":2024,"publication_date":"2024-05-03","ids":{"openalex":"https://openalex.org/W4396614897","doi":"https://doi.org/10.1142/s0218196724500231"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500231","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/A5012544320","display_name":"Peter Danchev","orcid":"https://orcid.org/0000-0002-2016-2336"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Peter Danchev","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0002-2016-2336","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071049977","display_name":"Brendan Goldsmith","orcid":"https://orcid.org/0000-0003-1487-1643"},"institutions":[{"id":"https://openalex.org/I4210144925","display_name":"Technological University Dublin","ror":"https://ror.org/04t0qbt32","country_code":"IE","type":"education","lineage":["https://openalex.org/I4210144925"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Brendan Goldsmith","raw_affiliation_strings":["Technological University Dublin, Dublin 7, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technological University Dublin, Dublin 7, Ireland","institution_ids":["https://openalex.org/I4210144925"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012544320"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":1.232,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.782441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"34","issue":"05","first_page":"639","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.8787999749183655,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.8787999749183655,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.8711000084877014,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8619999885559082,"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":0.9343811869621277},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7474817037582397},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5337544083595276},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3564615547657013},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33345192670822144}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9343811869621277},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7474817037582397},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5337544083595276},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3564615547657013},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33345192670822144}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500231","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500231","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":[{"id":"https://openalex.org/G3450032866","display_name":null,"funder_award_id":"FQM 264","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"}],"funders":[{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1556878752","https://openalex.org/W2095155137","https://openalex.org/W3200705297","https://openalex.org/W4236835561","https://openalex.org/W4303446334"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"In":[0],"connection":[1],"to":[2,22,35],"two":[3],"recent":[4],"publications":[5],"of":[6,40,61,98,111,139],"ours":[7],"in":[8,20,26],"Arch.":[9,27],"Math.":[10,15,28],"Basel":[11,29],"(2021)":[12],"and":[13,19,43,127],"Acta":[14],"Hungar.":[16],"(2022),":[17],"respectively,":[18],"regard":[21],"the":[23,33,37,57,112,136,149],"results":[24],"obtained":[25],"(2012),":[30],"we":[31,48,103,133],"have":[32],"motivation":[34],"study":[36],"near":[38],"property":[39,58,138],"both":[41],"Bassian":[42,45,73,84,97,115,140,151],"generalized":[44,66,72,83,96],"groups.":[46],"Concretely,":[47],"prove":[49],"that":[50,59,75,105,117,135],"if":[51,77],"an":[52,80],"arbitrary":[53,81],"reduced":[54],"group":[55,92],"has":[56],"all":[60,125],"its":[62],"proper":[63],"subgroups":[64],"are":[65,118,124],"Bassian,":[67],"then":[68,86],"it":[69,146],"is":[70,79,89,95,107],"also":[71],"itself,":[74],"is,":[76],"G":[78,88,94],"nearly":[82],"group,":[85],"either":[87],"a":[90,108],"quasi-cyclic":[91],"or":[93],"finite":[99],"torsion-free":[100],"rank.":[101],"Moreover,":[102],"show":[104],"there":[106],"complete":[109],"description":[110],"so-called":[113],"super":[114],"groups":[116,120,141],"those":[119],"whose":[121],"epimorphic":[122],"images":[123],"Basian,":[126],"give":[128],"their":[129],"full":[130],"characterization.":[131],"Also,":[132],"establish":[134],"hereditary":[137],"gives":[142],"nothing":[143],"new":[144],"as":[145],"coincides":[147],"with":[148],"ordinary":[150],"property.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
