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Results tagged with reference-request
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user 24231
This tag is used if a reference is needed in a paper or textbook on a specific result.
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$\mathrm{rk}_R M$ vs $\mathrm{rk}_S M$ - how nice need $R,S$ be?
Let $R\hookrightarrow S$ be Noetherian (noncommutative) rings without zero divisors with $\mathrm{rk}_{R} S < \infty$ (e.g. $S=R*G$ the crossed product of $R$ with a finite group $G$). Let $M$ be a fi …
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$\mathrm{rk}_R M$ vs $\mathrm{rk}_S M$ - how nice need $R,S$ be?
Two for my applications important cases turned out to have quite easy solutions. For the sake of completeness I'll post them, although I'm still wondering if there is a more general theory for ranks u …