A commutativity property for rings

作者:Bell H E*; Zarrin M
来源:Journal of Algebra and Its Applications, 2015, 14(4): 1550058.
DOI:10.1142/S0219498815500589

摘要

We provide a partial answer to the following question: Assume that R is a finite ring of order s such that for every two subsets M and N of cardinalities m and n respectively, there exist x is an element of M and y is an element of N such that xy = yx. What relations among s, m, n guarantee that R is commutative? Also, we give criteria for commutativity of such rings in terms of structure and relations between m and n.

  • 出版日期2015-5

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