AcademicArticleSCO_84936078303 Academic Article in Scopus uri icon

abstract

  • © 2015, Copyright Taylor & Francis Group, LLC. Using the concept of prime submodule for M ¿ R-Mod, P ¿ Spec(M), and N ¿ ¿[M], we define when N is P-Mtame (Mtame) module. This concept generalizes the concept of P-tame (tame) modules. For M ¿ R-Mod and ¿ ¿M-tors, we use the concept of ¿M-Gabriel dimension and we study the relationship between Mtame modules and ¿M-Gabriel dimension. We find equivalent conditions for a module M progenerator in ¿[M] with ¿M-Gabriel dimension to have ¿M-Gabriel correspondence in terms of the P-Mtame modules. This result extends the results by Albu et al. and Kim and Krause.

publication date

  • January 1, 2015