{"id":"https://openalex.org/W2025380266","doi":"https://doi.org/10.1142/s0218196703001572","title":"FAST ISOMORPHISM TESTING IN ARITHMETICAL VARIETIES","display_name":"FAST ISOMORPHISM TESTING IN ARITHMETICAL VARIETIES","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W2025380266","doi":"https://doi.org/10.1142/s0218196703001572","mag":"2025380266"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196703001572","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196703001572","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/A5074505103","display_name":"Tomasz A. Gorazd","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"TOMASZ A. GORAZD","raw_affiliation_strings":["Institute of Computer Science,  Jagiellonian University, ul. Nawojki 11, 30-072 Krak\u00f3w, Poland","Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30-072 Krakow, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science,  Jagiellonian University, ul. Nawojki 11, 30-072 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30-072 Krakow, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074505103"],"corresponding_institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210087266"],"apc_list":null,"apc_paid":null,"fwci":0.3546,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59204036,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"04","first_page":"499","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8945960998535156},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.7342007160186768},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7191134095191956},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7087599039077759},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.6067801713943481},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.49012646079063416},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.47779780626296997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4644736051559448},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4167129695415497},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.4161597490310669},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3667190670967102},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30716925859451294}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8945960998535156},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.7342007160186768},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7191134095191956},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7087599039077759},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.6067801713943481},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.49012646079063416},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.47779780626296997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4644736051559448},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4167129695415497},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.4161597490310669},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3667190670967102},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30716925859451294},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196703001572","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196703001572","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2033603815","https://openalex.org/W2053720861"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1586473494","https://openalex.org/W2778946875","https://openalex.org/W2023974151","https://openalex.org/W2163207601","https://openalex.org/W1660676450","https://openalex.org/W2150171660","https://openalex.org/W370468244","https://openalex.org/W1999789292","https://openalex.org/W2037270680"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,17,46],"see":[2,18,47],"text]":[3,19],"be":[4],"a":[5,29],"finitely":[6,66],"generated,":[7],"arithmetical":[8],"variety":[9],"such":[10],"that":[11,26,33],"all":[12],"subdirectly":[13],"irreducible":[14],"algebras":[15,44,74],"from":[16,45],"have":[20],"linearly":[21],"ordered":[22],"congruences.":[23],"We":[24],"show":[25],"there":[27],"is":[28],"polynomial":[30],"time":[31],"algorithm":[32],"tests":[34],"the":[35,51],"existing":[36],"of":[37,62,72],"an":[38,77],"isomorphism":[39],"between":[40],"any":[41],"two":[42],"finite":[43,68],"text].":[48],"This":[49],"includes":[50],"following":[52],"classical":[53],"structures":[54],"in":[55],"algebra:":[56],"\u2022":[57,60,70],"Boolean":[58],"algebras.":[59],"Varieties":[61,71],"rings":[63],"generated":[64,75],"by":[65,76],"many":[67],"fields.":[69],"Heyting":[73],"n\u2013element":[78],"chain.":[79]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
