A Class of Generalized Derivations

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2023-11-03 DOI:10.1007/s10469-023-09713-2

A. S. Zakharov

引用次数: 0

Abstract

We consider a class of generalized derivations that arise in connection with the problem of adjoining unity to an algebra with generalized derivation, and of searching envelopes for Novikov–Poisson algebras. Conditions for the existence of the localization of an algebra with ternary derivation are specified, as well as conditions under which given an algebra with ternary derivation, we can construct a Novikov–Poisson algebra and a Jordan superalgebra. Finally, we show how the simplicity of an algebra with Brešar generalized derivation is connected with simplicity of the appropriate Novikov algebra.

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一类广义派生

我们考虑了一类广义派生，这一类派生与广义派生代数的邻接统一问题和诺维科夫-泊松代数的包络搜索问题有关。我们指明了具有三元派生的代数的局部化存在的条件，以及给定一个具有三元派生的代数，我们可以构造一个诺维科夫-泊松代数和一个乔丹上代数的条件。最后，我们展示了具有布雷沙广义推导的代数的简单性是如何与适当的诺维科夫代数的简单性联系在一起的。

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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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.