On Commutativity of Non-Associative Primitive Rings with (xy)2-xy?Z(R)
نویسندگان
چکیده
منابع مشابه
Commutativity of Associative Rings through Astreb
Let m 0; r 0; s 0; q 0 be xed integers. Suppose that R is an associative ring with unity 1 in which for each x; y 2 R there exist polynomials f(X) 2 X 2 Z ZX]; g(X); h(X) 2 XZ ZX] such that f1?g(yx m)gx; x r y ? x s f(yx m)x q ]f1?h(yx m)g = 0. Then R is commu-tative. Further, result is extended to the case when the integral exponents in the above property depend on the choice of x and y. Final...
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ژورنال
عنوان ژورنال: International Journal of Scientific Research and Reviews
سال: 2019
ISSN: 2279-0543
DOI: 10.37794/ijsrr.2019.8425