Some torsion theoretical characterizations of rings.
Strict Mittag-Leffler conditions and locally split morphisms
In this paper, we prove that any pure submodule of a strict Mittag-Leffler module is a locally split submodule. As applications, we discuss some relations between locally split monomorphisms and locally split epimorphisms and give a partial answer to the open problem whether Gorenstein projective modules are Ding projective.
Strong stably finite rings and some extensions.
Strongly rectifiable and S-homogeneous modules
In this paper we introduce the class of strongly rectifiable and S-homogeneous modules. We study basic properties of these modules, of their pure and refined submodules, of Hill's modules and we also prove an extension of the second Prüfer's theorem.
Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. II.
TAG-modules with complement submodules -pure.
The Armendariz module and its application to the Ikeda-Nakayama module.
The derived functors of and protorsion modules
The general structure of inverse polynomial modules
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as -modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
The global basie dimension of artin rings [Book]
The structure of Loewy modules.
Torsion modules behaving like torsion Abelian groups
Von Neumann regular rings and the Whitehead property of modules
Weakly compact cardinals and -torsionless modules.
Weakly regular modules over normal rings.
When is a quasi-p-projective module discrete?
Whitehead property of modules
Wild Hereditary Artin Algebras and Linear Methods.
-generated uniserial modules over chain rings
The purpose of this paper is to provide a criterion of an occurrence of uncountably generated uniserial modules over chain rings. As we show it suffices to investigate two extreme cases, nearly simple chain rings, i.e. chain rings containing only three two-sided ideals, and chain rings with “many” two-sided ideals. We prove that there exists an -generated uniserial module over every non-artinian nearly simple chain ring and over chain rings containing an uncountable strictly increasing (resp. decreasing)...
Изоморфизм полугрупп эндоморфизмов модулей. II