广义格林关系与gv序半群

Q3 Mathematics

Quasigroups and Related Systems Pub Date : 2022-05-01 DOI:10.56415/qrs.v30.14

Shauli Sadhya, K. Hansda

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引用次数: 0

摘要

本文对广义Green关系和GV-半群的概念进行了广泛的研究。我们的方法允许我们看到GV-序半群类中广义Green关系的性质。此外，我们还证明了序半群S是GV-序半群，当且仅当S是完全π-正则和阿基米德序半群的完全半格。

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Generalized Green's relations and GV-ordered semigroups

In this paper an extensive study of the concepts of generalized Green’s relations and GV -semigroups without order to ordered semigroups have been given. Our approach allows one to see the nature of generalized Green’s relations in the class of GV -ordered semigroups. Moreover we show that an ordered semigroup S is a GV -ordered semigroup if and only if S is a complete semilattice of completely π-regular and Archimedean ordered semigroups.

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来源期刊

Quasigroups and Related Systems Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.70

自引率

0.00%

发文量