Test modules
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- by T. Cheatham and R. Cumbie PDF
- Proc. Amer. Math. Soc. 49 (1975), 311-314 Request permission
Abstract:
The results of this paper arose from an investigation of the class of $\Sigma$-modules, i.e. those modules $M$ for which ${\operatorname {Hom} _R}(M, - )$ commutes with direct sums. A module $T$ is called a test module if ${\operatorname {Hom} _R}(M, - )$ commutes with direct sums of copies of $T$ only when $M$ is a $\Sigma$-module. Test modules are characterized and their relation to cogenerators is investigated.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 311-314
- MSC: Primary 16A64
- DOI: https://doi.org/10.1090/S0002-9939-1975-0371958-X
- MathSciNet review: 0371958