Commutativity of nonassociative rings with identities in the center
[摘要] Let R be a nonassociative ring with center U. In this paper, it is shown that nonassociative ring R of char. ≠ 2 with unity is commutative if it satisfies any one of the following identities: (i) (xy)x + x(xy) + y∈ U, (ii) (xy)2- x2y - xy2- xy∈ U, (iii) (xy)2- x2y - xy2- yx∈ U (iv) (xy)2- xy2∈ U, (v) (xy)2- y2x ∈ U, (vi) (x2y2)z2- (xy)z ∈ U, (vii) (x2y2)z2-(xy)z ∈ U for all x, y, and for fixed z in R.
[发布日期] [发布机构] Department of Mathematics, School of Advanced Sciences, VIT University, Vellore; Tamil Nadu; 632014, India^1
[效力级别] 工业技术 [学科分类]
[关键词] Commutativity;Non-associative ring [时效性]
