On co-annihilators in equality algebras

IF 0.7 4区 数学 Q1 Mathematics Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.3816
S. Niazian, M. Kologani, Shahin Homayon Arya, R. Borzooei
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Abstract

. In this paper, we introduce the notion of co-annihilator on a lattice equality algebra E and investigate some basic properties of them. Specially, by using the generated filters in E , we prove that the set of all filters of E forms a bounded distributive pseudo-complemented lattice, which pseudo-complemented of any filter is co-annihilator of it. Finally, we construct a Boolean algebra by the set of all co-annihilators of E .
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相等代数中的共湮灭子
. 本文在格等式代数E上引入了共湮灭子的概念,并研究了它们的一些基本性质。特别地,利用E中生成的滤波器,证明了E中所有滤波器的集合形成一个有界分布的伪补格,其中任意滤波器的伪补都是它的共湮灭子。最后,我们用E的所有共湮灭子的集合构造了一个布尔代数。
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来源期刊
Miskolc Mathematical Notes
Miskolc Mathematical Notes Mathematics-Algebra and Number Theory
CiteScore
2.00
自引率
0.00%
发文量
9
期刊介绍: Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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