This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

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

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

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 …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

A module M is called distributive if the lattice Lat (M) of all its submodules is distributive, ie,
Fn (G+ H)= FnG+ FnH for all submodules F, G, and H of the module M. A module M is called …

Introduction In this pper all rings are commutative with identity and all modules are unitary.
By a semi-local (resp. a local) ring, we mean a ring with only a finite number of maximal …

This unique and comprehensive volume provides an up-to-date account of the literature on
the subject of determining the structure of rings over which cyclic modules or proper cyclic …