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Derivations with Nilpotent Values on Γ-rings

Bijan Davvaz|Kalyan Kumar Dey|Akhil Chandra Paul
한국수학교육학회|2014.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제4호|pp. 237-246

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참고문헌

키워드

derivationΓ﹣­ringprime Γ­﹣ringsemiprime Γ﹣­ringnilpotent Γ﹣­ring
주제분류수학

초록

Let M be a prime Γ-ring and let d be a derivation of M. If there exists a fixed integer n such that (d(x)α)ⁿd(x) = 0 for all x ∈ M and α∈Γ, then we provethat d(x) = 0 for all x ∈ M. This result can be extended to semiprime Γ-rings.

Abstract

Let M be a prime Γ-ring and let d be a derivation of M. If there exists a fixed integer n such that (d(x)α)ⁿd(x) = 0 for all x ∈ M and α∈Γ, then we provethat d(x) = 0 for all x ∈ M. This result can be extended to semiprime Γ-rings.

참고문헌 (15)

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  11. A.C. Paul, "Lie and Jordan structure in simple Γ-rings", J. Physical Sciences, 11, pp.77~86 (2010)
  12. A.C. Paul, "Lie structure in simple gamma rings", International Journal of Pure and Applied Sciences and Technology, 4(2), pp.63~70 (2010)
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  15. F. Wei, "Generalized derivation with nilpotent values on semiprime rings", Acta Mathe-matica Sinica (English Series), 20(3), pp.453~462 (2004)

관련 논문AI추천

TWO-SIDED Γ-α-DERIVATIONS IN PRIME AND SEMIPRIME Γ-NEAR-RINGSAkin Alkan, Mustafa Kazaz대한수학회 · 대한수학회논문집2008 · 제23권 제4호On Commutativity of σ-Prime Γ-RingsAkhil Chandra Paul, Bijan Davvaz, Kalyan Kumar Dey경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Derivations of prime and semiprime ringsHulya G. Inceboz, Nurcan Argac대한수학회 · 대한수학회지2009 · 제46권 제5호Generalized derivations on semiprime ringsVincenzo De Filippis대한수학회 · 대한수학회보2011 · 제48권 제6호On Semiprime Rings with Generalized DerivationsMohammad Mueenul Hasnain, Mohd Rais Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Derivations with annihilator conditions in prime ringsBasudeb Dhara, Sachhidananda Mondal, Sukhendu Kar대한수학회 · 대한수학회보2013 · 제50권 제5호

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