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A Commutativity Theorem for Rings
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Abstract
The aim of the present paper is to establish for commutativity of rings with unity 1 satisfying one of the properties (xy)k+1 = xkyk+1 x and (xy)k+1 = yxk+1 yk;forall x;y in R; and the mapping x ! xk is an ti-homomorphism where k 1 is a fixed positive integer.
관련 논문AI추천
Bi-additive Maps and Commutativity in RingsYong-Soo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호On 3-additive mappings and commutativity in certain rings박규홍, 정용수대한수학회 · 대한수학회논문집2007 · 제22권 제1호On $\Pi$-Armendariz Rings허찬, 류성주, 박광석, 이창익대한수학회 · 대한수학회보2007 · 제44권 제4호Generalizations of V-ringsXianmei Song, Xiaobin Yin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호Some examples of quasi-Armendariz ringsEbrahim Hashemi대한수학회 · 대한수학회보2007 · 제44권 제3호
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