Edmond W. H. Lee, Mikhail Volkov, Edmond W. H. Lee
{"title":"Non-Specht variety generated by an involution semigroup of order five","authors":"Edmond W. H. Lee, Mikhail Volkov, Edmond W. H. Lee","doi":"10.1090/MOSC/302","DOIUrl":null,"url":null,"abstract":"The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.","PeriodicalId":37924,"journal":{"name":"Transactions of the Moscow Mathematical Society","volume":"81 1","pages":"87-95"},"PeriodicalIF":0.0000,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Moscow Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/MOSC/302","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 3
Abstract
The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.
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