Abstract (EN):
Endomorphism rings of modules appear as the center of a ring, as the fix ring of a 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 primeness of the endomorphism ring. The contours of a possible example of a *-prime module whose endomorphism ring is not prime are traced.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
10