Edmond W. H. Lee, Mikhail Volkov, Edmond W. H. Lee
{"title":"由五阶对合半群产生的非光谱变化","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":"{\"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}","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}
Non-Specht variety generated by an involution semigroup of order five
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.