{"title":"Counting of Conjugacy classes in partial transformation semigroup.","authors":"A. Shah, Mohd Rafiq Parray, Dilawar Juneed Mir","doi":"10.22075/IJNAA.2021.24082.2666","DOIUrl":null,"url":null,"abstract":"J.Koneiczny in [8] introduced the new notion $sim_{n}$ notion of conjugacy in semigroups. In this paper, we count the number of conjugacy classes in Partial Transformation semigroup $mathcal{P}(A)$ for an infinite set $A$ with respect to $sim_{n}$ notion of conjugacy.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1909-1915"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Nonlinear Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22075/IJNAA.2021.24082.2666","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
J.Koneiczny in [8] introduced the new notion $sim_{n}$ notion of conjugacy in semigroups. In this paper, we count the number of conjugacy classes in Partial Transformation semigroup $mathcal{P}(A)$ for an infinite set $A$ with respect to $sim_{n}$ notion of conjugacy.
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