We study direct-sum decompositions of RD-projective modules. In particular, we investigate
the rings over which every RD-projective right module is a direct sum of cyclically presented …

The existence of large indecomposable right $ R $-modules over a right artinian ring $ R $ is
discussed in connection with the pure semisimplicity problem and the endo-wildness of the …

Uniqueness of Primary Decompositions Page 1 Turkish Journal of Mathematics Volume 27
Number 3 Article 6 1-1-2003 Uniqueness of Primary Decompositions PATRICK F. SMITH Follow …

A module M is called an automorphism-invariant module if every isomorphism between two
essential submodules of M extends to an automorphism of M. This paper introduces the …

Let R be the pullback, in the sense of, of two local Dedekind domains. We classify all those
indecomposable representable R-modules M with finite-dimensional top, that is, such that is …

In the study of indecomposable decompositions of a module, there are several properties
which play a significant role. A condition that is very useful in practice for checking whether a …

It was shown in [5] that a finitely presented pure-injective module M has an indecomposable
decomposition if and only if M is completely pure-injective, that is, every pure quotient of M is …

An R-module M is called∑-extending if every coproduct of copies of M is extending, ie
closed submodules are direct summands. Oshiro (1984) has shown that the ring R is∑ …

We shall consider here only commutative Noetherian rings with unit, and all modules are to
be taken as left unitary modules. In his paper [2], Matlis defined for a module A over a …

According to the classical Krull–Schmidt Theorem, any module of finite composition length
decomposes as a direct sum of indecomposable modules in an essentially unique way, that …