Models, Modules and Abelian Groups: In Memory of A. L. S. Corner

✍ Scribed by Rüdiger Göbel (editor); Brendan Goldsmith (editor)

• Publisher: De Gruyter
• Year: 2008
• Tongue: English
• Leaves: 508
• Category: Library

✦ Synopsis

This is a memorial volume dedicated to A. L. S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself.

• A memorial volume with important contributions related to algebra.

✦ Table of Contents

Frontmatter
Contents
Anthony Leonard Southern Corner 1934–2006
Groups of units of orders in Q-algebras
Basic subgroups and freeness, a counterexample
An extension of Butler’s theorem on endomorphism rings
Locally free abelian groups of finite rank
Decompositions of global crq-groups
Endomorphisms and automorphisms of squares of abelian groups
Classification of a class of finite rank Butler groups
Quotient divisible and almost completely decomposable groups
Pure subgroups of completely decomposable groups – an algorithmic approach
Strong subgroup chains and the Baer–Specker group
On direct decompositions of Butler B(2)-groups
Diagonal equivalence of matrices
Root bases of polynomials over integral domains
A solution to a problem on lattice isomorphic Abelian groups
A note on Axiom 3 and its dual for abelian groups
Units of modular p-mixed abelian group algebras
Pure covers in abelian p-groups
Partially decomposable primary Abelian groups and the generalized core class property
The additive group of a finite local ring in which each ideal can be n-generated
A Jacobson radical isomorphism theorem for torsion-free modules
Anti-isomorphisms and the failure of duality
Automorphism groups of models of first order theories
The classification problem for finite rank Butler groups
L-groups
Co-local subgroups of nilpotent groups of class 2
Divisible envelopes and cotorsion pairs over integral domains
The first Brauer–Thrall conjecture
A version of the Baer splitting problem for noetherian rings
Characterizations and constructions of h-local domains
Variations on Whitehead’s problem and the structure of Ext
The lattice of torsionfree precover classes
Non-singular rings of injective dimension 1
On classes defining a homological dimension
Truncated path algebras are homologically transparent
Representations of the category of serial modules of finite Goldie dimension
Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy