Rings satisfying monomial identities
Authors: Mohan S. Putcha and Adil Yaqub
Journal: Proc. Amer. Math. Soc. 32 (1972), 52-56
MSC: Primary 16.49
MathSciNet review: 0289569
Abstract: The following theorem is proved: Suppose R is an associative ring and suppose that is a fixed word distinct from . If, further, , for all in R, then the commutator ideal of R is nilpotent. Moreover, it is shown that this theorem need not be true if the word w is not fixed.
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- M. S. Putcha and A. Yaqub, Semigroups satisfying permutation identities, Semigroup Forum 13 (1971), 68-73. MR 0292969 (45:2050)
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