丝状关联代数上的局部和二局部推导

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2024-04-03 DOI:10.1142/s0219498825502421

Kobiljon Abdurasulov, Shavkat Ayupov, Bakhtiyor Yusupov

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引用次数: 0

摘要

本文致力于研究空蝶形、丝状和自然分级准蝶形关联代数的局部和 2 局部导数。我们证明，这些联想体一般都包含不是派生的局部派生。我们证明了丝状和自然分级准丝状关联代数包含不是导数的 2 局部导数，而空丝状关联代数的任何 2 局部导数都是导数。

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Local and 2-local derivations on filiform associative algebras

This paper is devoted to the study of local and 2-local derivations of null-filiform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras as a rule admit local derivations which are not derivations. We show that filiform and naturally graded quasi-filiform associative algebras admit 2-local derivations which are not derivations and any 2-local derivation of null-filiform associative algebras is a derivation.

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来源期刊

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.