{"title":"关于Cohn的嵌入定理","authors":"A. Nagy","doi":"10.12988/ija.2022.91647","DOIUrl":null,"url":null,"abstract":"In 1956, P.M. Cohn gave necessary and sufficient conditions for a semigroup to be embeddable in a left simple semigroup. The main purpose of this paper is to show how to construct a semigroup which is embeddable in an idempotent-free left simple semigroup. Mathematics Subject Classification: 20M10","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"18 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On an embedding theorem of Cohn\",\"authors\":\"A. Nagy\",\"doi\":\"10.12988/ija.2022.91647\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 1956, P.M. Cohn gave necessary and sufficient conditions for a semigroup to be embeddable in a left simple semigroup. The main purpose of this paper is to show how to construct a semigroup which is embeddable in an idempotent-free left simple semigroup. Mathematics Subject Classification: 20M10\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ija.2022.91647\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2022.91647","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In 1956, P.M. Cohn gave necessary and sufficient conditions for a semigroup to be embeddable in a left simple semigroup. The main purpose of this paper is to show how to construct a semigroup which is embeddable in an idempotent-free left simple semigroup. Mathematics Subject Classification: 20M10
期刊介绍:
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.