Homological Algebra has grown in the nearly three decades since the rst e-tion of this book
appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to …

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 …

Symmetry is one of the most important organising principles in the natural sciences. The
mathematical theory of symmetry has long been associated with group theory, but it is a …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

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

There are different approaches to characterizing the structures of commutative rings: the
category of modules over commutative rings, homology theories, theories of the star …

Let 𝑅 be a commutative ring and 𝑀 an 𝑅-module. Nagata introduced the idealization 𝑅 (+) 𝑀
of 𝑀. Here 𝑅 (+) 𝑀= 𝑅⊕ 𝑀 (direct sum) is a commutative ring with product (𝑟₁, 𝑚₁)(𝑟₂ …

'Et moi-... si j'avait su comment en revenir. One service mathematics has rendered the
human race. It has put common sense back je n'y serais point aUe.'it belongs. on the …

This English edition has an additional chapter" Elements of Homological Al gebra".
Homological methods appear to be effective in many problems in the theory of algebras; we …

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 …