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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 5

Some commutativity criteria involving endomorphism conditions on prime ideals

L. Oukhtite(Université Sidi Mohamed Ben Abdellah)0000-0003-4408-4421
Abdellah Mamounı(University Moulay Ismaïl)0000-0001-7994-1564
Mohammed Zerra(Université Sidi Mohamed Ben Abdellah)0000-0003-2711-2857
Pages
—
Publication Date
2022-10-01
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⚡ TL;DR(Too Long; Didn't Read)

In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.

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Objective & Hypothesis:In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.
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Key Findings & Data:In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.
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Conclusion & Impact:In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:prime ideals · commutativity · endomorphisms

Abstract

In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.

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Cite This Article

Oukhtite, L., Mamounı, A., Zerra, M. (2022). Some commutativity criteria involving endomorphism conditions on prime ideals. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 5. https://doi.org/10.15672/hujms.918743

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