The preservation of the semiprime Goldie property by strong semilattice sums
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- by Yue-chan P. Ho PDF
- Proc. Amer. Math. Soc. 114 (1992), 613-616 Request permission
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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 613-616
- MSC: Primary 16P60; Secondary 16W50, 20M25
- DOI: https://doi.org/10.1090/S0002-9939-1992-1074752-X
- MathSciNet review: 1074752