Models, modules and Abelian groups [[electronic resource] ] : in memory of A.L.S. Corner / / editors, Rüdiger Göbel, Brendan Goldsmith

• Record Nr.: UNINA9910782768103321
• Pubbl/distr/stampa: Berlin, : New York, : Walter de Gruyter, c2008
• ISBN: 1-281-99346-8; 9786611993467; 3-11-020303-0
• Descrizione fisica: 1 online resource (508 p.)
• Altri autori (Persone): CornerA. L. S <1934-2006.> (Anthony Leonard Southern); GöbelR <1940-> (Rüdiger); GoldsmithBrendan
• Disciplina: 510
• Soggetti: Modules (Algebra); Abelian groups; Model theory; Endomorphism rings
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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
• Sommario/riassunto: 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.