Article

Local derivations on associative and Jordan matrix algebras

Sh. A. AyupovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, UzbekistanFarhodjon ArzikulovDepartment of Mathematics, Andizhan State University, Andizhan, Uzbek-istanNodirbek Umrzaqov

Uzbek Mathematical Journaljournal2019en

ABI

Abstract

In the present paper we prove that every additive (not necessarily homogenous) local inner derivation on the algebra of matrices over an arbitrary field is an inner derivation, and every local inner derivation on the ring of matrices over a finite ring generated by the identity element or the ring of integers is an inner derivation.We also prove that every additive local inner derivation on the Jordan algebra of symmetric matrices over an arbitrary field is a derivation, and every local inner derivation on the Jordan ring of symmetric matrices over a finite ring generated by the identity element or the ring of integers is a derivation.

Topics

Advanced Topics in Algebra Matrix Theory and Algorithms Algebraic structures and combinatorial models

Identifiers

DOI: 10.29229/uzmj.2019-4-3

Citations and references

Cited by 018 references

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