Models, modules and Abelian groups : in memory of A.L.S. Corner / editors, Rudiger Gobel, Brendan Goldsmith.

Format:

Book

Contributor:

Corner, A. L. S. (Anthony Leonard Southern), 1934-2006.

Göbel, R. (Rüdiger), 1940-

Goldsmith, Brendan.

Language:

English

Subjects (All):

Modules (Algebra).

Abelian groups.

Model theory.

Endomorphism rings.

Physical Description:

1 online resource (508 p.)

Edition:

1st ed.

Place of Publication:

Berlin : New York : Walter de Gruyter, c2008.

Language Note:

English

Summary:

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 The volume contains refereed contributions which are related to the work of Corner.It contains also an unpublished extended paper of Corner himself.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.

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611993467

9781281993465

1281993468

9783110203035

3110203030

OCLC:

476275583