The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the
construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really …

This is the second revised edition of an introduction to contemporary relative homological
algebra. It supplies important material essential to understand topics in algebra, algebraic …

References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

Since the injective envelope and projective cover were defined by Eckmann and Bas in the
1960s, they have had great influence on the development of homological algebra, ring …

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 …

Modern developments in representation theory rely heavily on homological methods. This
book for advanced graduate students and researchers introduces these methods from their …

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 …

The model theory of abelian groups was developed by Szmielew ([28] quantifier elimination
and decidability) and Eklof & Fisher [4], who observed that K1-saturated abelian groups are …

Abstract Contents Introduction § 1. Projectively generated proper classes § 2. Projective
proper classes § 3. Injectively generated and injective proper classes § 4. Spectral …

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 …