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

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

In honor of Edgar Enochs and his venerable contributions to a vast diversity of issues in Algebra, most sensible researchers from worldwide amassed at Auburn college to record on their most modern paintings and trade principles on a few of ultra-modern premiere study themes. This conscientiously edited quantity provides the refereed papers of the contributors of those talks besides contributions from different veteran researchers who have been not able to attend.

These papers mirror a number of the present issues in Abelian teams, Commutative Algebra, Commutative jewelry, crew conception, Homological Algebra, Lie Algebras, and Module conception. obtainable even to starting mathematicians, lots of those articles recommend difficulties and courses for destiny learn. This quantity is an exceptional addition to the literature and a useful instruction manual for starting in addition to professional researchers in Algebra.

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Additional info for Abelian Groups, Rings, Modules, and Homological Algebra

Sample text

R) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Localization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . .

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.

Self-Small Modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Projectivity Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The Class M A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Domains Which Support Warfield’s Results .

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