: Rüdiger Göbel, Brendan Goldsmith
: Models, Modules and Abelian Groups In Memory of A. L. S. Corner
: Walter de Gruyter GmbH& Co.KG
: 9783110203035
: 1
: CHF 254.70
:
: Allgemeines, Lexika
: English
: 506
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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 It contains also an unpublished extended paper of Corner himself.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.


Rüdiger Göbel, University Duisburg-Essen, Germany;Brendan Goldsmith, Dublin Institute of Technology, Ireland.
Rüdiger Göbel, Journalist und stellvertretender Chefredakteur der Tageszeitung »junge Welt«.
Frontmatter1
Contents7
Anthony Leonard Southern Corner 1934–200611
Groups of units of orders in Q-algebras19
Basic subgroups and freeness, a counterexample73
An extension of Butler’s theorem on endomorphism rings85
Locally free abelian groups of finite rank93
Decompositions of global crq-groups109
Endomorphisms and automorphisms of squares of abelian groups131
Classification of a class of finite rank Butler groups145
Quotient divisible and almost completely decomposable groups157
Pure subgroups of completely decomposable groups – an algorithmic approach179
Strong subgroup chains and the Baer–Specker group197
On direct decompositions of Butler B(2)-groups209
Diagonal equivalence of matrices229
Root bases of polynomials over integral domains245
A solution to a problem on lattice isomorphic Abelian groups259
A note on Axiom 3 and its dual for abelian groups267
Units of modular p-mixed abelian group algebras277
Pure covers in abelian p-groups287
Partially decomposable primary Abelian groups and the generalized core class property299
The additive group of a finite local ring in which each ideal can be n-generated311
A Jacobson radical isomorphism theorem for torsion-free modules319
Anti-isomorphisms and the failure of duality325
Automorphism groups of models of first order theories335
The classification problem for finite rank Butler groups339
L-groups349
Co-local subgroups of nilpotent groups of class 2361
Divisible envelopes and cotorsion pairs over integral domains369
The first Brauer–Thrall conjecture379
A version of the Baer splitting problem for noetherian rings385
Characterizations and constructions of h-local domains395
Variations on Whitehead’s problem and the structure of Ext417
The lattice of torsionfree precover classes425
Non-singular rings of injective dimension 1431
On classes defining a homological dimension441
Truncated path algebras are homologically transparent455
Representations of the category of serial modules of finite Goldie dimension473
Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy497