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ENDOMORPHISM RINGS OF MODULES OVER PRIME RINGS

Profile image of Christian LompChristian Lomp

2015, Taiwanese Journal of Mathematics

https://doi.org/10.11650/TJM.19.2015.5111
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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 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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