关于内射mv模块

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2018-12-30 DOI:10.18778/0138-0680.47.4.04

R. Borzooei, S. S. Goraghani

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引用次数: 1

摘要

本文考虑了鲁环上与鲁模自然对应的结构——鲁模的概念，研究了鲁模的内射性，并讨论了构造鲁模的一些条件。然后我们定义了本质A同态和本质A同态的扩展的概念，其中A是乘积v -代数，我们得到了一些性质。最后证明了单射mv模的任意a -理想的极大本质扩展也是单射a模。

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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On Injective MV-Modules

In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective MV-modules. Then we define the notions of essential A-homomorphisms and essential extension of A-homomorphisms, where A is a product MV-algebra, and we get some of there properties. Finally, we prove that a maximal essential extension of any A-ideal of an injective MV-module is an injective A-module, too.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks