丝状关联代数上的局部和二局部推导

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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