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arXiv · 1207.4228

Endomorphism rings of modules over prime rings

Mohammad Baziar·Christian Lomp
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Abstract

Endomorphism rings of modules appear as the center of a ring, as the fix ring of ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain *-prime modules (introduced by Bican et al.) have a prime endomorphism ring. Several conditions are presented that guarantee the primness of the endomorphism ring. The contours of a possible example of a *-prime module whose endomorphism ring is not prime are traced.

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Mohammad Baziar, Christian Lomp. 2012-07-17. Endomorphism rings of modules over prime rings. https://arxiv.org/abs/1207.4228

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