Document Details Document Type : Article In Journal  Document Title : On commutativity of rings involving certain polynomial constraints On commutativity of rings involving certain polynomial constraints   Document Language : Arabic  Abstract : Let m greater than or equal to 0 and n > 1 be fixed integers. Let R be a ring with unity 1 satisfying the condition that, for every y in R, there exist polynomials f(x) epsilon X(2)Z[X] and g(X), h(X) epsilon Z[X] depending on y such that x(m)[x(n),y] = g(y)[x, f(y)]h(y) for all a in R. The main result of the present paper asserts that R is commutative if R has the property Q(n), i.e., for all x,y in R, n[a,y] = 9 implies [x,y] = 0.  Journal Name : ALGEBRA COLLOQUIUM  Volume : 5  Issue Number : 1  Publishing Year : 1998 AH   Added Date : Saturday, June 14, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email حمزة علي أبو جبل Abujabal HAS Researcher     Back To Researches Page