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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The preservation of the semiprime Goldie property by strong semilattice sums


Author: Yue-chan P. Ho
Journal: Proc. Amer. Math. Soc. 114 (1992), 613-616
MSC: Primary 16P60; Secondary 16W50, 20M25
MathSciNet review: 1074752
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Abstract: Let $ R$ be a strong semilattice sum of rings $ {R_\alpha }(\alpha \in P)$ where $ P$ is an m.u.-semilattice. When $ P$ is infinite, $ R$ is not a right Goldie ring; and when $ P$ is finite, $ R$ is semiprime right Goldie iff each $ {R_\alpha }$ is semiprime right Goldie.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1074752-X
PII: S 0002-9939(1992)1074752-X
Keywords: Semilattice sum, semiprime Goldie
Article copyright: © Copyright 1992 American Mathematical Society