n-Generalized Schützenberger-Crossed Product of Monoids

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-08-15 DOI:10.1007/s11253-024-02321-y

Esra Kırmızı Çetinalp

引用次数: 0

Abstract

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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n 广义胥岑伯格单体交叉积

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.