A commutativity property for rings
2015 ◽
Vol 14
(04)
◽
pp. 1550058
◽
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 ∈ M and y ∈ 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.
2013 ◽
Vol E96.A
(6)
◽
pp. 1496-1500
2013 ◽
Vol 45
(8)
◽
pp. 21-31
Keyword(s):
Keyword(s):
Keyword(s):
1985 ◽
Vol 260
(18)
◽
pp. 9976-9980
◽
2005 ◽
Vol 2005
(19)
◽
pp. 3045-3055
◽
2007 ◽
Vol 425
(2-3)
◽
pp. 776-796
◽
Keyword(s):
Keyword(s):