A module of finite type is a module that has a finite spanning set. Modules of finite type play a fundamental role in the theory of commutative rings, similar to the role of the finite-dimensional vector spaces in linear algebra. In particular, Noetherian rings (see also ', below) can be defined as the rings such that every submodule of a module of finite type is also of finite type.
A module of finite type is a module that has a finite spanning set Modules of finite type play a fundamental role in the theory of commutative rings, similar to the role of the finite-dimensional vector spaces in linear algebra In particular No.etherian rings (see also ', below) can b.e defined as the rings such that every submodule of a module of finite type is also of finite typ,e.