Continuous and discrete modules are, essentially, generalizations of infective and projective
modules respectively. Continuous modules provide an appropriate setting for decomposition …

Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

Page 1 Modern Birkhäuser Classics Alberto Facchini Module Theory Endomorphism rings and
direct sum decompositions in some classes of modules S. Birkhäuser Page 2 US Birkhäuser …

This book surveys more than 125 years of aspects of associative algebras, especially ring
and module theory. It is the first to probe so extensively such a wealth of historical …

This comprehensive and self-contained text provides a thorough understanding of the
concepts and applications of discrete mathematics and graph theory. It is written in such a …

Near rings, fuzzy ideals, and graph theory is a very fascinating course. Near ring theory has
enormous applications in different subject areas such as digital computing, sequential …

An R-module M is called coretractable if HomR (M/K, M)≠ 0 for any proper submodule K of
M. In this paper we study coretractable modules and their endomorphism rings. It turns out …

This dissertation reviews attempts of dualizing the Goldie dimension. Moreover we choose
one of these attempts as the dualization of Goldie dimension and study modules with this …

The concept of the Gloldie dimension of a module has been different ways: by Fleury in [2]
and by Varadarajan in [S]. Fleury's of the lattice nature-while the character of Varadarajan's …

DUAL GOLDIE DIMENSION 567 The object of the present paper is to study modules of finite
corank. It will turn out that all the results of Goldie on Goldie dimension have corresponding …