본문 바로가기
KERD
논문KCI 등재

Commutativity criteria of prime rings involving two endomorphisms

Abdellah Mamouni|Mohammed Tamekkante|Souad Dakir
대한수학회 (The Korean Mathematical Society)|2022.07|대한수학회논문집 (Communications of the KMS)|제37권 제3호|pp. 659-667|DOI 10.4134/CKMS.c210240

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Prime ringcommutativityinvolutionendomorphisms of rings
주제분류수학

초록

This paper treats the commutativity of prime rings with involution over which elements satisfy some specific identities involving endomorphisms. The obtained results cover some well-known results. We show, by given examples, that the imposed hypotheses are necessary.

Abstract

This paper treats the commutativity of prime rings with involution over which elements satisfy some specific identities involving endomorphisms. The obtained results cover some well-known results. We show, by given examples, that the imposed hypotheses are necessary.

참고문헌 (8)

  1. M. Bresar, "Centralizing Mappings and Derivations in Prime Rings", Journal of Algebra, 156(2), pp.385~394 (1993), Elsevier BV[DOI]
  2. M. Bresar, "Centralizing Maps in Prime Rings with Involution", Journal of Algebra, 161(2), pp.342~357 (1993), Elsevier BV[DOI]
  3. Qing Deng, "On derivations and commutativity in semiprime rings", Communications in Algebra, 23(10), pp.3705~3713 (1995), Informa UK Limited[DOI]
  4. Abdellah Mamouni, "On ∗-semiderivations and ∗-generalized semiderivations", Journal of Algebra and Its Applications, 16(04), pp.1750075~ (2017), World Scientific Pub Co Pte Lt[DOI]
  5. Joseph H. Mayne, "Centralizing Automorphisms of Prime Rings", Canadian Mathematical Bulletin, 19(1), pp.113~115 (1976), Canadian Mathematical Society[DOI]
  6. H. El Mir, "Special Mappings with Central Values on Prime Rings", Algebra Colloquium, 27(03), pp.405~414 (2020), World Scientific Pub Co Pte Lt[DOI]
  7. B. Nejjar, "Commutativity theorems in rings with involution", Communications in Algebra, 45(2), pp.698~708 (2016), Informa UK Limited[DOI]
  8. E. C. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)[DOI]

관련 논문AI추천

Generalized derivations in ring with involution involving symmetric and skew symmetric elementsAbdellah Mamouni, Hajar El Mir, Souad Dakir대한수학회 · 대한수학회논문집2024 · 제39권 제1호On derivations and commuting like elements in prime ringsJihad Benzaid, Lahcen Oukhtite, Omar Ait Zemzami장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호On n-skew Lie Products on Prime Rings with InvolutionMohammad Salahuddin Khan, Muzibur Rahman Mozumder, Shakir Ali경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제1호Some commutativity theorems of prime rings with generalized (σ, τ)-derivationEmine Koc, Oznur Golbasi대한수학회 · 대한수학회논문집2011 · 제26권 제3호On commuting like elements in prime ringsJihad Benzaid, Lahcen Oukhtite, Omar Ait Zemzami대한수학회 · 대한수학회논문집2025 · 제40권 제2호Central Identities in Prime Rings with Anti-Automorphisms and Generalized DerivationsAbbas Hussain Shikeh, Mohammad Aslam Siddeeque경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제2호

이 간행물의 다른 논문 (22건)

Mean values of derivatives of quadratic prime Dirichlet $L$-functions in function fields정환엽pp. 635-648Semi-neutral groupoids and $BCK$-algebras서영주, 김희식, Joseph Neggerspp. 649-658A characterization of finite factorization positive monoidsHarold Polopp. 669-679On partial sums of four parametric Wright functionMuhey U. Dinpp. 681-692Infinitely many homoclinic solutions for damped vibration systems with locally defined potentialsMohsen Timoumi, Wafa Selmipp. 693-703
원문 보기