逻辑代数的一个新分支：UP代数

Q4 Mathematics

Journal of Algebra and Related Topics Pub Date : 2017-06-01 DOI:10.22124/JART.2017.2403

Aiyared Iampan

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引用次数: 86

摘要

本文引入了一种新的代数结构——UP-代数(UP意为Phayao University)，以及UP-代数中的UP-理想、UP-子代数、同余和UP-同态的概念，并研究了它们的一些相关性质。我们还描述了up -理想、up -子代数、同余和up -同态之间的联系，并证明了up -代数的概念是ku -代数的推广。

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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A new branch of the logical algebra: UP-algebras

In this paper, we introduce a new algebraic structure, called a UP-algebra (UP means the University of Phayao) and a concept of UP-ideals, UP-subalgebras, congruences and UP-homomorphisms in UP-algebras, and investigated some related properties of them. We also describe connections between UP-ideals, UP-subalgebras, congruences and UP-homomorphisms, and show that the notion of UP-algebras is a generalization of KU-algebras.

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来源期刊

Journal of Algebra and Related Topics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

16 weeks