可加正则Г -半环及其推导的研究

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2022-03-01 DOI:10.7151/dmgaa.1378

M. Dadhwal, Neelam

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引用次数: 0

摘要

介绍了具有(A2， Г)-条件的加性正则半环的交换子和导数的概念。我们还对可加正则Г -半环的Jordan积进行了刻画，并建立了一些研究换向子、导子和内导子之间关系的结果。1957年，E.C. Posner证明了如果素环R存在一个非零的集中导数，则R是可交换的。在素数加性正则Г -半环的导数框架中推广了这一结果。

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Study of Additively Regular Г -Semirings and Derivations

Abstract In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the relationship between commutators, derivations and inner derivations. In 1957, E.C. Posner has shown that if there exists a non-zero centralizing derivation in a prime ring R, then R is commutative. This result is extended in the frame work of derivations of prime additively regular Г -semirings.

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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