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- W4281629139 abstract "The fundamental aim of this paper is to investigate the structure of a quotient ring R/P where R is an arbitrary ring and P is a prime ideal of R. More precisely, we will characterize the commutativity of R/P via the behavior of generalized derivations of R satisfying algebraic identities involving the prime ideal P. Moreover, various wellknown results characterizing the commutativity of prime (semi-prime) rings have been extended. Furthermore, examples are given to prove that the restrictions imposed on the hypothesis of the various theorems were not superfluous." @default.
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- W4281629139 date "2022-06-01" @default.
- W4281629139 modified "2023-09-30" @default.
- W4281629139 title "Structure of a quotient ring R/P and its relation with generalized derivations of R" @default.
- W4281629139 doi "https://doi.org/10.22199/issn.0717-6279-4399" @default.
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