半群中的软覆盖理想

Pub Date : 2020-11-01 DOI:10.2478/ausm-2020-0023

Şerif Özlü, A. Sezgi̇n

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引用次数: 2

摘要

本文构造了半群中的软覆盖理想，并在此概念下定义了半群的软覆盖半群、软覆盖左(右)理想、软覆盖内理想、软覆盖(广义)双理想和软覆盖拟理想。介绍了这些理想的各种性质，研究了这些软覆盖理想之间的相互关系以及软反覆盖理想与软覆盖理想之间的关系。

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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Soft covered ideals in semigroups

Abstract In this work, soft covered ideals in semigroups are constructed and in this concept, soft covered semigroups, soft covered left (right) ideals, soft covered interior ideals, soft covered (generalized) bi-ideals and soft covered quasi ideals of a semigroup are defined. Various properties of these ideals are introduced and the interrelations of these soft covered ideals and the relations of soft anti covered ideals and soft covered ideals are investigated.

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