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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Krull dimension of modules over involution rings


Authors: K. I. Beĭdar, E. R. Puczyłowski and P. F. Smith
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
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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?


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DOI: https://doi.org/10.1090/S0002-9939-1994-1184081-3
Article copyright: © Copyright 1994 American Mathematical Society