Goldie conditions in finite normalizing extensions
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- by Charles Lanski PDF
- Proc. Amer. Math. Soc. 79 (1980), 515-519 Request permission
Abstract:
Let S be a finite normalizing extension of a ring R. If M is an S module, then M has finite uniform dimension if and only if it has finite uniform dimension when considered as an R module. Consequently, when S is a right Goldie ring, R is also a right Goldie ring. Conversely, if R is a semiprime right Goldie ring and S is a prime ring, then S is a Goldie ring. Finally, when both S and R are semiprime right Goldie rings, the quotient ring of R embeds in the quotient ring of S.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 515-519
- MSC: Primary 16A34; Secondary 16A26
- DOI: https://doi.org/10.1090/S0002-9939-1980-0572292-7
- MathSciNet review: 572292