Regular elements in rings with involution

Lanski, Charles

doi:10.1090/S0002-9947-1974-0354760-8

Regular elements in rings with involution
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Trans. Amer. Math. Soc. 195 (1974), 317-325 Request permission

Abstract:

The purpose of this paper is to determine when a symmetric element, regular with respect to other symmetries, is regular in the ring. This result is true for simple rings, for prime rings with either Goldie chain condition, and for semiprime Goldie rings. Examples are given to show that these results are the best that can be hoped for.

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