This paper provides two new characterizations of RM-domains, ie domains satisfying the
restricted minimum condition. A Noetherian domain is a RM-domain if and only if every …

Given a right Ore domain R and a family (Mi) icl of right R-modules whose direct product is a
torsion module, are almost all of the factors A4i uniformly bounded, ie, is there a nonzero …

In this paper, we introduce the notion of cofinitely injective modules and study their
properties over special types of rings. We define a right R‐module M to be cofinitely injective …

Modules with Unique Closure Relative to a Torsion Theory | AVESİS Hacettepe Üniversitesi
Akademik Veri Yönetim Sistemi Araştırmacı Girişi English Detaylı Arama Ana Sayfa Son …

Given a ring R and a class 𝒞 of R-modules, one can ask whether or not every element of 𝒞
decomposes uniquely as a direct sum of indecomposable elements of 𝒞. If not, one can …

LetRbe a ring. AnR-moduleM is called a (weak) duo moduleprovided every (direct
summand) submodule of M is fully invariant. It is proved that if R is a commutative domain …

1. Introduction. It is a well-known and basic result of homological alge-bra that the direct
product of an arbitrary family of injective modules over any ring is again injective [3, p. 8] …

In this paper, we characterize-extending (Goldie extending) modules over Dedekind
domains and we use the-extending condition to characterize the modules over a principal …

In a previous paper we introduced μ-complemented modules for any given torsion functor μ
of a hereditary torsion theory in Mod-R and presented their basic properties. Our current …

Let R be a discrete valuation domain with field of fractions Q and maximal ideal generated
by. Let be an R-order such that is a separable Q-algebra. Maranda showed that there exists …