Dominions and closed varieties of bands

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-05-14 DOI:10.15672/hujms.1217130

Shabnam Abbas, W. Ashraf, N. M. Khan

引用次数: 0

Abstract

In this paper, we improve the results of [1] and solve one of the open problems of [1]. First, we have shown that all subvarieties of the variety of rectangular bands are closed in the variety of n-nilpotent extension of bands. Further, we gave the new, simple and shorter proof of closedness of the variety of regular bands and lastly, we have shown that all subvarieties of the variety of normal bands are closed in the variety of left semiregular bands.

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领地和封闭的品种

在本文中，我们改进了[1]的结果，解决了[1]的一个开放问题。首先，我们证明了矩形带的所有子变种都在带的n-幂零扩展变种中是封闭的。在此基础上，给出了正则带变化的封闭性的一个新的、简单的、简短的证明，并证明了正规带变化的所有子变化在左半正则带变化中都是封闭的。

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

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.