Taiwanese Journal of Mathematics

ENDOMORPHISM RINGS OF MODULES OVER PRIME RINGS

Mohammad Baziar and Christian Lomp

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Abstract

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.

Article information

Source
Taiwanese J. Math., Volume 19, Number 3 (2015), 953-962.

Dates
First available in Project Euclid: 4 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499133672

Digital Object Identifier
doi:10.11650/tjm.19.2015.5111

Mathematical Reviews number (MathSciNet)
MR3353263

Zentralblatt MATH identifier
1357.16044

Subjects
Primary: 16D10: General module theory 16S50: Endomorphism rings; matrix rings [See also 15-XX]

Keywords
prime modules endomorphism rings *-prime

Citation

Baziar, Mohammad; Lomp, Christian. ENDOMORPHISM RINGS OF MODULES OVER PRIME RINGS. Taiwanese J. Math. 19 (2015), no. 3, 953--962. doi:10.11650/tjm.19.2015.5111. https://projecteuclid.org/euclid.twjm/1499133672


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