ON PSEUDO-COMMUTATMTY AND COMMUTATIVITY IN RINGS |
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Abstract: | Abstract A ring R is called pseudo-commutative if for each x,y ε R there exists an integer n = n(x, y) for which xy = nyx. We first show that a generalization of a commutativity condition of Chacron and Thierrin implies pseudo-commutativity in rings; we then study pseudo-commutativity and commutativity in rings with constraints of the form xy = σkiyixi, where the ki are integers. |
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Keywords: | 16U80 |
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