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This\n\nnotion of independence is handy when it comes to systems coming from physics,\nbut when directly applied to classical algebras, subobject independence is not\nentirely satisfactory. The sole purpose of this note is to introduce the notion\n\nof subalgebra independence, which is a slight variation of subobject indepen-\ndence, yet this modification enables us to connect subalgebra independence to\n\nmore traditional notions of independence. Apart from drawing connections be-\ntween subalgebra independence and coproducts and congruences, we mainly\n\nillustrate the notion by discussing examples.", "digital" : true, "printed" : true, "sourceYear" : 2023, "foreignEdition" : true, "foreignLanguage" : true, "fullPublication" : true, "conferencePublication" : false, "nationalOrigin" : true, "missingAuthor" : false, "oaType" : "NONE", "oaCheckDate" : "2024-03-04", "oaFree" : false, "citationCount" : 0, "citationCountUnpublished" : 0, "citationCountWoOther" : 0, "independentCitCountWoOther" : 0, "nationalOriginCitationCount" : 0, "foreignEditionCitationCount" : 0, "doiCitationCount" : 0, "wosCitationCount" : 0, "scopusCitationCount" : 0, "wosScopusCitationCount" : 0, "wosScopusCitationCountWoOther" : 0, "wosScopusIndependentCitationCount" : 0, "wosScopusIndependentCitationCountWoOther" : 0, "independentCitationCount" : 0, "selfCitationCount" : 0, "unhandledCitationCount" : 0, "citingPubCount" : 0, "independentCitingPubCount" : 0, "citingPubCountWoOther" : 0, "independentCitingPubCountWoOther" : 0, "unhandledCitingPubCount" : 0, "citedPubCount" : 0, "citedCount" : 0, "ratings" : [ { "otype" : "SjrRating", "mtid" : 11306977, "link" : "/api/sjrrating/11306977", "label" : "sjr:Q4 (2022) Scopus - Algebra and Number Theory MATHEMATICAL REPORTS 1582-3067 1582-3067", "listPos" : 106, "rankValue" : 1.0, "type" : "journal", "ratingType" : { "otype" : "RatingType", "mtid" : 10002, "link" : "/api/ratingtype/10002", "label" : "sjr", "code" : "sjr", "published" : true, "snippet" : true }, "subject" : { "otype" : "ClassificationExternal", "mtid" : 2602, "link" : "/api/classificationexternal/2602", "label" : "Scopus - Algebra and Number Theory", "published" : true, "oldId" : 2602, "snippet" : true }, "ranking" : "Q4", "calculation" : "DIRECT", "published" : true, "snippet" : true } ], "ratingsForSort" : "Q4", "hasCitationDuplums" : false, "userChangeableUntil" : "2023-04-17T13:25:00.963+0000", "directInstitutesForSort" : "Filozófiatudományi Doktori Iskola (ELTE / BTK)", "ownerAuthorCount" : 1, "ownerInstituteCount" : 3, "directInstituteCount" : 1, "authorCount" : 3, "contributorCount" : 0, "hasQualityFactor" : true, "link" : "/api/publication/33570691", "label" : "ALEXA GOPAULSINGH et al. 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