본문 바로가기
KERD
논문KCI 등재

Lie Ideals and Commutativity of Semiprime Rings with Generalized Derivation

Emine Koc Sogutcu|O ̈znur Go ̈lba ̧sı
영남수학회 (Youngnam Mathematical Society)|2020.01|East Asian Mathematical Journal|제36권 제1호|pp. 101-114

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

derivationsemiprime ringLie idealgeneralized derivation.
주제분류수학

초록

Inthispaper,weinvestigatecommutativityofsemiprimerings with a derivation which is strongly commutativity preserving and acts as a homomorphism or as an anti-homomorphism on a nonzero Lie ideal.

Abstract

Inthispaper,weinvestigatecommutativityofsemiprimerings with a derivation which is strongly commutativity preserving and acts as a homomorphism or as an anti-homomorphism on a nonzero Lie ideal.

참고문헌 (12)

  1. ALI, A, "Strong commutativity preserving mappings on semiprime rings", Bull. Korean Math. Soc, 43(4), pp.711~713 (2006)
  2. ASHRAF, M, "On generalized derivations of prime rings", South-east Asian Bull. of Math, 29, pp.669~675 (2005)
  3. AWTAR, R, "Lie structure in prime rings with derivations", Publ. Math. Debrecen, 31, pp.209~215 (1984)
  4. BELL, H. E, "Rings in which derivations satisfy certain algebraic conditions", Acta Math. Hungarica, 53, pp.339~346 (1989)
  5. BERGEN, I, "Lie ideals and derivation of prime rings", J. of Algebra, 71, pp.259~267 (1981)
  6. BRESAR, M, "On the distance of the composition of two derivations to the generalized derivations", Glasgow Math. J, 33, pp.89~93 (1991)
  7. DAIF, M. N, "Remarks on derivations on semiprime rings", Internat J. Math. and Math. Sci, 15(1), pp.205~206 (1992)
  8. HONGAN, M, "Lie ideals and Jordan triple derivations in rings", Rend. Semin. Mat. Univ. Padova, 125, pp.147~156 (2011)
  9. KOC, E, "Some results in semiprime rings with derivation", Commun. Fac. Sci. Univ. Ank. Series A1, 62(1), pp.11~20 (2013)
  10. POSNER, E. C, "Derivations in prime rings", Proc Amer.Math.Soc, pp.1093~1100 (1957)
  11. REHMAN, N, "Generalized Jordan derivations on Lie ideals associate with Hochschild 2-cocycles of rings", Rend. Circ. Mat. Palermo, 60(3), pp.437~444 (2011)
  12. SAMMAN, M.S, "On strong commutativity-preserving maps", Internat J. Math. Math. Sci, 6, pp.917~923 (2005)

관련 논문AI추천

On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호Some commutativity theorems of prime rings with generalized (σ, τ)-derivationEmine Koc, Oznur Golbasi대한수학회 · 대한수학회논문집2011 · 제26권 제3호ON (σ, τ)-LIE IDEALS WITH GENERALIZED DERIVATIONEmine Koc, Oznur Golbasi대한수학회 · 대한수학회보2010 · 제47권 제6호On generalized Jordan left derivations in ringsMohammad Ashraf, Shakir Ali대한수학회 · 대한수학회보2008 · 제45권 제2호Derivations of prime and semiprime ringsHulya G. Inceboz, Nurcan Argac대한수학회 · 대한수학회지2009 · 제46권 제5호

이 간행물의 다른 논문 (9건)

On Symmetric Bi-$f$-derivations of Lattice Implication Algebras김경호pp. 1-11A Note on $(p,q)$-analogue Type of Frobenius-Genocchi Numbers and PolynomialsIdrees A. Khan, Waseem A. Khanpp. 13-24Note on Strong Law of Large Number under Sub-linear Expectation황교신pp. 25-34Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation이양희, 진선숙pp. 35-53A Probabilistic Approach for Valuing Exchange Option with Default Risk김건우pp. 55-60
원문 보기