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Commutativity Criteria for a Factor Ring R/P Arising from P-Centralizers
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In this paper we consider a more general class of centralizers called I centralizers. More precisely, given a prime ideal P of an arbitrary ring R we establish a connection between certain algebraic identities involving a pair of P-left centralizers and the structure of the factor ring R/P.
Abstract
In this paper we consider a more general class of centralizers called I centralizers. More precisely, given a prime ideal P of an arbitrary ring R we establish a connection between certain algebraic identities involving a pair of P-left centralizers and the structure of the factor ring R/P.
참고문헌 (8)
- A. Abbasi, "On commutativity and centralizers of prime ring with involution", Thai J. Math, 20(3), pp.1329~1335 (2022)
- A. Z. Ansari, "Additive mappings on semiprime rings functioning as centralizers", Aust. J. Math. Anal. Appl, 19(2), pp.9~ (2022)
- M. Ashraf, "On left multipliers and the commutativity of prime rings", Demonstratio Math, 41(4), pp.763~771 (2008)
- N. Aydin, "A note on generalized derivations of prime rings", Int. J. Algebra, 5, pp.17~23 (2011)
- K. I. Beidar, "Rings with generalized iden-tities", Monogr. Textbooks Pure Appl. Math, 196, pp.522~ (1996), Marcel Dekker, Inc
- M. Fosner, "A new equation related to two-sided centralizers in prime rings", Aequationes Math, 96(6), pp.1207~1219 (2022)
- M. Fosner, "On functional equation related to(m; n)-Jordan centralizers in prime rings", Bull. Malays. Math. Sci. Soc, 42(6), pp.3131~3147 (2019)
- L. Oukhtite, "Left multipliers and Jordan ideals in rings with involution", Afr. Diaspora J. Math, 11(1), pp.24~28 (2011)
관련 논문AI추천
Commutativity with algebraic identities involving prime idealsAbdellah Mamouni, Hajar El Mir, Lahcen Oukhtite대한수학회 · 대한수학회논문집2020 · 제35권 제3호Commutativity criteria of prime rings involving two endomorphismsAbdellah Mamouni, Mohammed Tamekkante, Souad Dakir대한수학회 · 대한수학회논문집2022 · 제37권 제3호RELATIONSHIP BETWEEN THE STRUCTURE OF A FACTOR RING R/P AND DERIVATIONS OF RKarim Bouchannafa, Lahcen Oukhtite, Moulay Abdallah Idrissi대한수학회 · 대한수학회보2023 · 제60권 제5호Identities in a Prime Ideal of a Ring Involving Generalized DerivationsAbdelkarim Boua, Hafedh Mohsen Ali Alnoghashi, Nadeem Ur Rehman경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호On commuting like elements in prime ringsJihad Benzaid, Lahcen Oukhtite, Omar Ait Zemzami대한수학회 · 대한수학회논문집2025 · 제40권 제2호On a Class of Semicommutative RingsAbdullah Harmanci, Nazim Agayev, Tahire Özen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제3호
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