Commutativity of rings with conditions on commutators, nilpotent and potent elements

Results in Mathematics - Tập 14 - Trang 375-381 - 2013
Adil Yaqub1
1Department of Mathematics, University of California, Santa Barbara, USA

Tài liệu tham khảo

H. Abu-Khuzam and A. Yaqub, A commutativity theorem for rings with constraints involving nilpotent elements, Studia Sci. Math. Hungar. 14 (1979), 83–86. M. Chacron, A commutativity theorem for rings, Proc. Amer. Math. Soc. 59 (1976), 211–216. Y. Hirano and H. Tominaga, Two commutativity theorems for rings, Math. J. Okayama Univ. 20 (1978), 67–72. Y. Hirano, H. Tominaga and A. Yaqub, On rings in which every element is uniquely expressible as a sum of a nilpotent element and a certain potent element, to appear in Math. J. Okayama Univ. Y. Hirano and A. Yaqub, Rings satisfying the identity (X-Xn)(Y-Yn) = 0, Math. J. Okayama Univ. 29 (1987), 185–189. S. Ikehata and H. Tominaga, A commutativity theorem, Math. Japon. 24 (1979), 29–30. N. Jacobson, Structure of Rings, Amer. Math. Soc. Colloq. Publ. 37, 1964. W.K. Nicholson And A. Yaqub, A commutativity theorem for rings and groups, Canad. Math. Bull. 22 (1979), 419–423. H. Tominaga And A. Yaqub, Some commutativity conditions for left s-unital rings satisfying certain polynomial identities, Results in Math. 6 (1983), 217–219.