Krull dimension of modules over involution rings
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- by K. I. Beĭdar, E. R. Puczyłowski and P. F. Smith PDF
- Proc. Amer. Math. Soc. 121 (1994), 391-397 Request permission
Abstract:
The following question of Lanski is answered positively in the case when a ring R with involution $^ \ast$ is Noetherian with respect to two-sided $\ast$-ideals. Let R be a ring with $^ \ast$ and invertible 2, and let $\bar S$ be the subring of R generated by the symmetric elements in R. Does any left R-module have the same Krull dimension when considered as an R-module and $\bar S$-module?References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 391-397
- MSC: Primary 16W10; Secondary 16P40, 16P70
- DOI: https://doi.org/10.1090/S0002-9939-1994-1184081-3
- MathSciNet review: 1184081