{"title":"Minimal ∗-varieties and superinvolutions","authors":"Onofrio M. Di Vincenzo, Vincenzo C. Nardozza","doi":"10.1007/s11856-024-2657-2","DOIUrl":null,"url":null,"abstract":"<p>We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all ∗-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.</p>","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":"12 7 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Israel Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11856-024-2657-2","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all ∗-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.
期刊介绍：
The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.
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