Displaying similar documents to “Classes of modules related to Serre subcategories.”

Rad-supplemented modules

Engin Büyükaşik, Engin Mermut, Salahattin Özdemir (2010)

Rendiconti del Seminario Matematico della Università di Padova


On certain classes of modules.

Kalathoor Varadarajan (1992)

Publicacions Matemàtiques


Let be a class or R-modules containing 0 and closed under isomorphic images. With any such we associate three classes Γ, F and Δ. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.

Weak Krull-Schmidt theorem

Ladislav Bican (1998)

Commentationes Mathematicae Universitatis Carolinae


Recently, A. Facchini [3] showed that the classical Krull-Schmidt theorem fails for serial modules of finite Goldie dimension and he proved a weak version of this theorem within this class. In this remark we shall build this theory axiomatically and then we apply the results obtained to a class of some modules that are torsionfree with respect to a given hereditary torsion theory. As a special case we obtain that the weak Krull-Schmidt theorem holds for the class of modules that are...