Density relative to a torsion theory
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- by Paul Bland and Stephen Riley PDF
- Proc. Amer. Math. Soc. 82 (1981), 527-532 Request permission
Abstract:
If $(\Im , \mathcal {F})$ is a torsion theory on Mod $R$, then a ring $B$ of biendomorphisms of a $\Im$-cocritical module is topologized. Moreover, if a certain factor module of $R$ is quasi-projective, a ring monomorphism $\varphi :R \to B$ is found such that $\varphi (R)$ is topologically dense in $B$. This is done in such a way that when $(\Im , \mathcal {F})$ is the torsion theory in which every module is torsion free, the Jacobson density theorem is recovered.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 527-532
- MSC: Primary 16A64; Secondary 16A80
- DOI: https://doi.org/10.1090/S0002-9939-1981-0614872-7
- MathSciNet review: 614872