传递be代数的素理想

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2022-03-01 DOI:10.7151/dmgaa.1383

M. Prabhakar, S. Vali, M. S. Rao

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引用次数: 0

摘要

摘要在传递be代数中引入素数理想的概念。基本理想是借助于主要理想来表现的。给出并推导了be代数的素数理想定理。在传递be代数中引入了极小素理想的概念。导出了一个固有理想分解为极小素理想的定理。

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Prime Ideals of Transitive BE-Algebras

Abstract The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras. The concept of minimal prime ideals is introduced in transitive BE-algebras. A decomposition theorem of proper ideals into minimal prime ideals is derived.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks