MTame Modules And Local Gabriel Correspondence

作者：Castro Perez Jaime; Rios Montes Jose

来源：Communications in Algebra, 2015, 43(10): 4471-4486.

DOI：10.1080/00927872.2014.946609

• Gabriel correspondence
• Krull dimension
• Prime submodules
• Tame modules
• Torsion theory
• 16S90
• 16D50
• 16P50
• 16P70

Using the concept of prime submodule for MR-Mod, PSpec(M), and N sigma[M], we define when N is P-Mtame \ (Mtame) module. This concept generalizes the concept\ of P-tame (tame) modules. For MR-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 sigma[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.

• 出版日期2015