LEADER 04946nam 2200805Ia 450 001 9910782768103321 005 20230721004548.0 010 $a1-281-99346-8 010 $a9786611993467 010 $a3-11-020303-0 024 7 $a10.1515/9783110203035 035 $a(CKB)1000000000698101 035 $a(EBL)429226 035 $a(OCoLC)476275583 035 $a(SSID)ssj0000333690 035 $a(PQKBManifestationID)11257019 035 $a(PQKBTitleCode)TC0000333690 035 $a(PQKBWorkID)10377643 035 $a(PQKB)11620292 035 $a(MiAaPQ)EBC429226 035 $a(DE-B1597)33381 035 $a(OCoLC)503441345 035 $a(OCoLC)979583289 035 $a(OCoLC)984643634 035 $a(OCoLC)987936801 035 $a(OCoLC)992544550 035 $a(OCoLC)999354863 035 $a(DE-B1597)9783110203035 035 $a(Au-PeEL)EBL429226 035 $a(CaPaEBR)ebr10275817 035 $a(CaONFJC)MIL199346 035 $a(EXLCZ)991000000000698101 100 $a20080222d2008 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aModels, modules and Abelian groups$b[electronic resource] $ein memory of A.L.S. Corner /$feditors, Ru?diger Go?bel, Brendan Goldsmith 210 $aBerlin $cNew York $cWalter de Gruyter$dc2008 215 $a1 online resource (508 p.) 300 $aDescription based upon print version of record. 311 $a3-11-019437-6 320 $aIncludes bibliographical references. 327 $t Frontmatter -- $tContents -- $tAnthony Leonard Southern Corner 1934-2006 -- $tGroups of units of orders in Q-algebras -- $tBasic subgroups and freeness, a counterexample -- $tAn extension of Butler's theorem on endomorphism rings -- $tLocally free abelian groups of finite rank -- $tDecompositions of global crq-groups -- $tEndomorphisms and automorphisms of squares of abelian groups -- $tClassification of a class of finite rank Butler groups -- $tQuotient divisible and almost completely decomposable groups -- $tPure subgroups of completely decomposable groups - an algorithmic approach -- $tStrong subgroup chains and the Baer-Specker group -- $tOn direct decompositions of Butler B(2)-groups -- $tDiagonal equivalence of matrices -- $tRoot bases of polynomials over integral domains -- $tA solution to a problem on lattice isomorphic Abelian groups -- $tA note on Axiom 3 and its dual for abelian groups -- $tUnits of modular p-mixed abelian group algebras -- $tPure covers in abelian p-groups -- $tPartially decomposable primary Abelian groups and the generalized core class property -- $tThe additive group of a finite local ring in which each ideal can be n-generated -- $tA Jacobson radical isomorphism theorem for torsion-free modules -- $tAnti-isomorphisms and the failure of duality -- $tAutomorphism groups of models of first order theories -- $tThe classification problem for finite rank Butler groups -- $tL-groups -- $tCo-local subgroups of nilpotent groups of class 2 -- $tDivisible envelopes and cotorsion pairs over integral domains -- $tThe first Brauer-Thrall conjecture -- $tA version of the Baer splitting problem for noetherian rings -- $tCharacterizations and constructions of h-local domains -- $tVariations on Whitehead's problem and the structure of Ext -- $tThe lattice of torsionfree precover classes -- $tNon-singular rings of injective dimension 1 -- $tOn classes defining a homological dimension -- $tTruncated path algebras are homologically transparent -- $tRepresentations of the category of serial modules of finite Goldie dimension -- $tCommutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy 330 $aThis 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. 606 $aModules (Algebra) 606 $aAbelian groups 606 $aModel theory 606 $aEndomorphism rings 610 $aAlgebra. 610 $aCommutative Ring. 610 $aIndecomposable Module. 610 $aModule. 610 $aRing. 615 0$aModules (Algebra) 615 0$aAbelian groups. 615 0$aModel theory. 615 0$aEndomorphism rings. 676 $a510 701 $aCorner$b A. L. S$g(Anthony Leonard Southern),$f1934-2006.$01544966 701 $aGo?bel$b R$g(Ru?diger),$f1940-$060070 701 $aGoldsmith$b Brendan$01544967 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782768103321 996 $aModels, modules and Abelian groups$93799580 997 $aUNINA