Abstract
The object of this paper is to prove the following theorem, a special case of which was previously explored in [1].THEOREM. Let R be any associative ring with the property that(†) for each x,y ∊ R, there exist integers m,n ≧ I for which xy = ymxn.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. Commutativity conditions for rings: 1950–2005;Expositiones Mathematicae;2007-05
2. A setwise commutativity property for rings;Communications in Algebra;1997-01
3. ON PSEUDO-COMMUTATMTY AND COMMUTATIVITY IN RINGS;Quaestiones Mathematicae;1994-04
4. Certain conditions under which near-rings are rings;Bulletin of the Australian Mathematical Society;1990-08
5. The 3-centre and commutativity theorems;Acta Mathematica Academiae Scientiarum Hungaricae;1979-09