(Taylor & Francis inc, 2024) Ay Saylam, Basak; Ay Saylam, Başak; Gurbuz, Ezgi; Hamdi, Haleh; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
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.
