w-locally isomorphic torsionless modules over weakly Matlis domains.

Autor: Ay Saylam, Başak, Gürbüz, Ezgi, Hamdi, Haleh
Předmět:
Zdroj: Communications in Algebra; 2024, Vol. 52 Issue 9, p3721-3733, 13p
Abstrakt: Let R be an integral domain. An R-module G is torsionless if it is isomorphic to a submodule of a finitely generated free R-module. For torsionless modules, we define w-weak isomorphism types which are new versions of weak isomorphism types with respect to the w-operation: w-local isomorphism and w-nearly isomorphism. Furthermore, we examine the relationship between w-local isomorphism, w-nearly isomorphism, and stable isomorphism for torsionless w-modules over weakly Matlis domains. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index