1. MTame Modules And Local Gabriel Correspondence.
- Author
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Pérez, JaimeCastro and Montes, JoséRíos
- Subjects
VECTOR analysis ,MATHEMATICAL analysis ,VECTOR spaces ,FROBENIUS algebras ,ASSOCIATIVE algebras ,FROBENIUS groups ,GROUP theory - Abstract
Using the concept of prime submodule forM ∈ R-Mod,P ∈ Spec(M), andN ∈ σ[M], we define whenNisP-Mtame\ (Mtame) module. This concept generalizes the concept\ ofP-tame(tame) modules. ForM ∈ R-Mod and τ ∈M-tors, we use the concept of τM-Gabriel dimension and we study the relationship betweenMtamemodules and τM-Gabriel dimension. We find equivalent conditions for a moduleMprogenerator in σ[M] with τM-Gabriel dimension to have τM-Gabriel correspondence in terms of theP-Mtamemodules. This result extends the results by Albu et al. and Kim and Krause. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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