New PDF release: Abelian Groups, Rings, Modules, and Homological Algebra

By Pat Goeters (Editor), Overtoun M.G. Jenda (Editor)

ISBN-10: 142001076X

ISBN-13: 9781420010763

ISBN-10: 1584885521

ISBN-13: 9781584885528

In honor of Edgar Enochs and his venerable contributions to a extensive diversity of issues in Algebra, most sensible researchers from all over the world accumulated at Auburn collage to document on their most modern paintings and trade principles on a few of brand new premiere examine themes. This conscientiously edited quantity offers the refereed papers of the members of those talks in addition to contributions from different veteran researchers who have been not able to attend.

These papers replicate a few of the present issues in Abelian teams, Commutative Algebra, Commutative jewelry, crew thought, Homological Algebra, Lie Algebras, and Module concept. available even to starting mathematicians, lots of those articles recommend difficulties and courses for destiny research. This quantity is a phenomenal addition to the literature and a precious guide for starting in addition to pro researchers in Algebra.

Show description

Read or Download Abelian Groups, Rings, Modules, and Homological Algebra PDF

Best algebra books

An Introduction to Abstract Algebra (Vol II) by F.M. Hall PDF

The second one quantity keeps the process research began in quantity 1, yet can be used independently by way of these already owning an basic wisdom of the topic. A precis of easy team thought is by way of debts of staff homomorphisms, jewelry, fields and vital domain names. The similar options of an invariant subgroup and an excellent in a hoop are introduced in and the reader brought to vector areas and Boolean algebra.

Extra resources for Abelian Groups, Rings, Modules, and Homological Algebra

Example text

3 Localization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 16 19 20 20 Abstract In this paper, we study an invariant (R) introduced by Scott Chapman to measure how far an HFD R is from being a UFD.

1 1 2 4 5 7 9 10 11 Abstract We survey generalizations of Warfield’s 1968 Homomorphisms and Duality paper. Our main focus is in fixing a module A and examining when Warfield’s results hold relative to this fixed A. 1 Introduction Some of the most promising tools in the study of torsion-free abelian groups and modules have been the ideas developed in Warfield’s paper [49]. Specifically, the Hom/Tensor functors, H om(A, −) / − ⊗ A, and the contravariant functor H om(−, A), referred to as Warfield Duality, where A is a subgroup of the rational integers.

8 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Self-Small Modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Projectivity Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The Class M A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Download PDF sample

Abelian Groups, Rings, Modules, and Homological Algebra by Pat Goeters (Editor), Overtoun M.G. Jenda (Editor)


by James
4.4

Rated 4.18 of 5 – based on 37 votes