L 模块

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2023-12-04 DOI:10.18778/0138-0680.2023.27

S. Saidi Goraghani, Rajab Ali Borzooei

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引用次数: 0

摘要

本文考虑l -代数中包含大量其他代数结构，给出了l -代数上模的定义(l -模)。然后给出了一些例子，得到了关于l模的一些结果。给出了l -代数的素理想和l -模的l -子模(素- l -子模)的定义，并研究了它们之间的关系。最后，通过对若干定理的证明，给出了l子模存在素数的若干条件。

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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L-Modules

In this paper, considering L-algebras, which include a significant number of other algebraic structures, we present a definition of modules on L-algebras (L-modules). Then we provide some examples and obtain some results on L-modules. Also, we present definitions of prime ideals of L-algebras and L-submodules (prime L-submodules) of L-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime L-submodules.

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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