{"id":"https://openalex.org/W2963576762","doi":"https://doi.org/10.1515/gcc-2017-0011","title":"Direct products, varieties, and compactness conditions","display_name":"Direct products, varieties, and compactness conditions","publication_year":2017,"publication_date":"2017-01-17","ids":{"openalex":"https://openalex.org/W2963576762","doi":"https://doi.org/10.1515/gcc-2017-0011","mag":"2963576762"},"language":"en","primary_location":{"id":"doi:10.1515/gcc-2017-0011","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gcc-2017-0011","pdf_url":null,"source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Groups Complexity Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"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/A5006939106","display_name":"M. Shahryari","orcid":"https://orcid.org/0000-0002-0463-2182"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Shahryari","raw_affiliation_strings":["Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034599218","display_name":"\u0410rt\u0435m N. Shevlyakov","orcid":"https://orcid.org/0000-0002-5338-6264"},"institutions":[{"id":"https://openalex.org/I20119556","display_name":"Omsk State Technical University","ror":"https://ror.org/01kzjg088","country_code":"RU","type":"education","lineage":["https://openalex.org/I20119556"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Artem Shevlyakov","raw_affiliation_strings":["and Omsk State Technical University, pr. Mira 11, 644050 Omsk, Russia","Sobolev Institute of Mathematics, Pevtsova st. 13, 644099Omsk","Omsk State Technical University, pr. Mira 11, 644050 Omsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"and Omsk State Technical University, pr. Mira 11, 644050 Omsk, Russia","institution_ids":["https://openalex.org/I20119556"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, Pevtsova st. 13, 644099Omsk","institution_ids":["https://openalex.org/I4210096862"]},{"raw_affiliation_string":"Omsk State Technical University, pr. Mira 11, 644050 Omsk, Russia","institution_ids":["https://openalex.org/I20119556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034599218"],"corresponding_institution_ids":["https://openalex.org/I20119556","https://openalex.org/I4210096862"],"apc_list":null,"apc_paid":null,"fwci":0.4783,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70101682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"0","issue":"0","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/noetherian","display_name":"Noetherian","score":0.6472984552383423},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.6161922216415405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44349074363708496},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43151283264160156},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2121913731098175}],"concepts":[{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.6472984552383423},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.6161922216415405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44349074363708496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43151283264160156},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2121913731098175}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/gcc-2017-0011","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gcc-2017-0011","pdf_url":null,"source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Groups Complexity Cryptology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2248043649","display_name":null,"funder_award_id":"17-11-01117","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1925082355","https://openalex.org/W2021591702","https://openalex.org/W2049949447","https://openalex.org/W2085785963","https://openalex.org/W2518077841","https://openalex.org/W3100597049"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2487640660","https://openalex.org/W2612526717","https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W4252969132","https://openalex.org/W2104060380","https://openalex.org/W2004779034","https://openalex.org/W1718701227","https://openalex.org/W1593219065"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"equationally":[3],"Noetherian":[4],"and":[5]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
