{"title":"Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings","authors":"S. Lapin","doi":"10.1090/spmj/1711","DOIUrl":null,"url":null,"abstract":"<p>On the basis of combinatorial techniques of dihedral modules with <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal infinity\">\n <mml:semantics>\n <mml:mi mathvariant=\"normal\">∞<!-- ∞ --></mml:mi>\n <mml:annotation encoding=\"application/x-tex\">\\infty</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula>-simplicial faces, dihedral homology is constructed for involutive <inline-formula content-type=\"math/mathml\">\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper A Subscript normal infinity\">\n <mml:semantics>\n <mml:msub>\n <mml:mi>A</mml:mi>\n <mml:mrow class=\"MJX-TeXAtom-ORD\">\n <mml:mi mathvariant=\"normal\">∞<!-- ∞ --></mml:mi>\n </mml:mrow>\n </mml:msub>\n <mml:annotation encoding=\"application/x-tex\">A_{\\infty }</mml:annotation>\n </mml:semantics>\n</mml:math>\n</inline-formula>-algebras over arbitrary commutative unital rings.</p>","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"St Petersburg Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/spmj/1711","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
On the basis of combinatorial techniques of dihedral modules with ∞\infty-simplicial faces, dihedral homology is constructed for involutive A∞A_{\infty }-algebras over arbitrary commutative unital rings.
期刊介绍：
This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
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