BL代数中链条件的一种通用方法

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI:10.46793/kgjmat2206.959k

Jamal Kazemiasl, F. K. Haghani, S. Heidarian

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引用次数: 0

摘要

在本文中，我们给出了Noetherian和Artinian BL代数概念的一般定义，并对BL代数中的链条件给出了更全面的见解。我们得到了一些推广存在性结果的定理。我们给出了Noetherian和Artinian概念的公理化方法，这也适用于其他代数结构。我们使用一种理论方法来定义算术概念，这对于其他代数设备也是可能的。在这项研究中，我们只关注BL代数。

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 General Approach To Chain Condition in BL-Algebras

In this paper, we present a general deﬁnition of the notion of Noetherian and Artinian BL-algebra and present a more comprehensive insight at the chain conditions in BL-algebras. We derive some theorems which generalize the existence results. We give an axiomatic approach to the notion of being Noetherian and Artinian, which is also applicable to other algebraic structures. We use a theoretical approach to deﬁne arithmetic notion that is also possible for other algebraic devices. In this study, we only focus to BL-algebras.

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