A note on generalized derivations on prime ideals

Document Type : Research Paper

Authors

1 Department of Mathematics Aligarh Muslim University Aligarh, India

2 Department of Mathematics, Seki 772, Maniwa, Okayama, Japan.

Abstract

This paper investigates the structure of the quotient ring R/P, where R is an arbitrary ring and P is a prime ideal of R . We show that the structure of this class of rings has a relationship with the behaviour of generalized derivations satisfying algebraic identities involving prime ideals.

Keywords

Journal of Algebra and Related Topics
Volume 10, Issue 1
June 2022
Pages 159-169

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