{"title":"n 广义胥岑伯格单体交叉积","authors":"Esra Kırmızı Çetinalp","doi":"10.1007/s11253-024-02321-y","DOIUrl":null,"url":null,"abstract":"<p>We study the <i>n</i>-generalized Schützenberger-crossed product from the viewpoint of combinatorial group theory and introduce a new version of this product. For given monoids of this new product, we obtain a representation of the <i>n</i>-generalized Schützenberger-crossed product of arbitrary monoids. In addition, we give necessary and sufficient conditions for the regularity of this product.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"n-Generalized Schützenberger-Crossed Product of Monoids\",\"authors\":\"Esra Kırmızı Çetinalp\",\"doi\":\"10.1007/s11253-024-02321-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study the <i>n</i>-generalized Schützenberger-crossed product from the viewpoint of combinatorial group theory and introduce a new version of this product. For given monoids of this new product, we obtain a representation of the <i>n</i>-generalized Schützenberger-crossed product of arbitrary monoids. In addition, we give necessary and sufficient conditions for the regularity of this product.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11253-024-02321-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-024-02321-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们从组合群论的角度研究了 n 广义 Schützenberger 交叉积，并引入了这一积的新版本。对于这个新积的给定单体，我们得到了任意单体的 n 广义 Schützenberger-crossed 积的表示。此外，我们还给出了这一积正则性的必要条件和充分条件。
n-Generalized Schützenberger-Crossed Product of Monoids
We study the n-generalized Schützenberger-crossed product from the viewpoint of combinatorial group theory and introduce a new version of this product. For given monoids of this new product, we obtain a representation of the n-generalized Schützenberger-crossed product of arbitrary monoids. In addition, we give necessary and sufficient conditions for the regularity of this product.
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