{"id":"https://openalex.org/W2090298990","doi":"https://doi.org/10.1007/s00500-007-0262-z","title":"On two versions of the Loomis\u2013Sikorski Theorem for algebraic structures","display_name":"On two versions of the Loomis\u2013Sikorski Theorem for algebraic structures","publication_year":2008,"publication_date":"2008-03-17","ids":{"openalex":"https://openalex.org/W2090298990","doi":"https://doi.org/10.1007/s00500-007-0262-z","mag":"2090298990"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-007-0262-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-007-0262-z","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5056475733","display_name":"Anatolij Dvure\u010denskij","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Anatolij Dvure\u010denskij","raw_affiliation_strings":["Slovak Academy of Sciences, Mathematical Institute, \u0160tef\u00e1nikova 49, 814 73, Bratislava, Slovakia","Slovak Academy of Sciences, Mathematical Institute, Bratislava, Slovakia 814 73#TAB#"],"affiliations":[{"raw_affiliation_string":"Slovak Academy of Sciences, Mathematical Institute, \u0160tef\u00e1nikova 49, 814 73, Bratislava, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Slovak Academy of Sciences, Mathematical Institute, Bratislava, Slovakia 814 73#TAB#","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026496761","display_name":"Flavia Ventriglia","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Flavia Ventriglia","raw_affiliation_strings":["Dipartimento di matematica e applicazioni, \u201cR. Caccioppoli\u201d, Universit\u00e1 degli studi di Napoli \u201cFederico II\u201d complesso universitario, \u201cMonte S. Angelo\u201d, Via Cintia, 801 26, Naples, Italy","Dipartimento di matematica e applicazioni, R. Caccioppoli, Universit\u00e1 degli studi di Napoli \"Federico II complesso universitario, Naples, Italy 801 26#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di matematica e applicazioni, \u201cR. Caccioppoli\u201d, Universit\u00e1 degli studi di Napoli \u201cFederico II\u201d complesso universitario, \u201cMonte S. Angelo\u201d, Via Cintia, 801 26, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dipartimento di matematica e applicazioni, R. Caccioppoli, Universit\u00e1 degli studi di Napoli \"Federico II complesso universitario, Naples, Italy 801 26#TAB#","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056475733"],"corresponding_institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12111738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"10","first_page":"1027","last_page":"1034"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9939000010490417,"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":0.9934999942779541,"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/dedekind-cut","display_name":"Dedekind cut","score":0.7651621103286743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6992820501327515},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5672171115875244},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5214421153068542},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5161998867988586},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5051923394203186},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4775853455066681},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4621364176273346},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4167948067188263},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40784692764282227},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3989121615886688},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07205092906951904}],"concepts":[{"id":"https://openalex.org/C76449584","wikidata":"https://www.wikidata.org/wiki/Q851333","display_name":"Dedekind cut","level":2,"score":0.7651621103286743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6992820501327515},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5672171115875244},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5214421153068542},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5161998867988586},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5051923394203186},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4775853455066681},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4621364176273346},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4167948067188263},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40784692764282227},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3989121615886688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07205092906951904},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-007-0262-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-007-0262-z","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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":29,"referenced_works":["https://openalex.org/W19487029","https://openalex.org/W42295006","https://openalex.org/W69269870","https://openalex.org/W92099274","https://openalex.org/W155997516","https://openalex.org/W616113975","https://openalex.org/W1490505438","https://openalex.org/W1504266994","https://openalex.org/W1576725839","https://openalex.org/W1599755535","https://openalex.org/W1602423691","https://openalex.org/W1985104705","https://openalex.org/W1989551546","https://openalex.org/W2008430657","https://openalex.org/W2012072427","https://openalex.org/W2030780144","https://openalex.org/W2050883727","https://openalex.org/W2053663279","https://openalex.org/W2080412456","https://openalex.org/W2102313997","https://openalex.org/W2131618478","https://openalex.org/W2132542187","https://openalex.org/W2146018538","https://openalex.org/W2516634577","https://openalex.org/W2573624470","https://openalex.org/W2907045986","https://openalex.org/W4211185072","https://openalex.org/W4213380319","https://openalex.org/W6829016229"],"related_works":["https://openalex.org/W3158039265","https://openalex.org/W2904535842","https://openalex.org/W3105504064","https://openalex.org/W4287197216","https://openalex.org/W1529494625","https://openalex.org/W2342017063","https://openalex.org/W2131767845","https://openalex.org/W2351578128","https://openalex.org/W4301466310","https://openalex.org/W2950460772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
