LEADER 02948nam 2200721Ia 450 001 9910782777903321 005 20230721004318.0 010 $a1-282-19654-5 010 $a9786612196546 010 $a3-11-020578-5 024 7 $a10.1515/9783110205787 035 $a(CKB)1000000000691499 035 $a(EBL)364705 035 $a(OCoLC)476197233 035 $a(SSID)ssj0000204722 035 $a(PQKBManifestationID)11168590 035 $a(PQKBTitleCode)TC0000204722 035 $a(PQKBWorkID)10189172 035 $a(PQKB)10120478 035 $a(MiAaPQ)EBC364705 035 $a(DE-B1597)34145 035 $a(OCoLC)471132559 035 $a(OCoLC)979582012 035 $a(DE-B1597)9783110205787 035 $a(Au-PeEL)EBL364705 035 $a(CaPaEBR)ebr10256409 035 $a(CaONFJC)MIL219654 035 $a(EXLCZ)991000000000691499 100 $a20080402d2008 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModules over discrete valuation domains$b[electronic resource] /$fby Piotr A. Krylov and Askar A. Tuganbaev 210 $aBerlin ;$aNew York $cde Gruyter$dc2008 215 $a1 online resource (368 p.) 225 1 $aDe Gruyter expositions in mathematics ;$v43 300 $aDescription based upon print version of record. 311 $a3-11-020053-8 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tChapter 1 Preliminaries -- $tChapter 2 Basic facts -- $tChapter 3 Endomorphism rings of divisible and complete modules -- $tChapter 4 Representation of rings by endomorphism rings -- $tChapter 5 Torsion-free modules -- $tChapter 6 Mixed modules -- $tChapter 7 Determinity of modules by their endomorphism rings -- $tChapter 8 Modules with many endomorphisms or automorphisms -- $t Backmatter 330 $aThis book provides the first systematic treatment of modules over discrete valuation domains which plays an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text which is supplemented by exercises and interesting open problems. An important contribution to commutative algebra. 410 0$aDe Gruyter expositions in mathematics ;$v43. 606 $aModules (Algebra) 606 $aCommutative algebra 610 $aAlgebra: Ring. 610 $aDiscrete Valuation Domain. 610 $aModule Theory. 615 0$aModules (Algebra) 615 0$aCommutative algebra. 676 $a512/.42 686 $a510$2sdnb 686 $aSK 230$2rvk 700 $aKrylov$b Piotr A$01547604 701 $aTuganbaev$b Askar A$0518404 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782777903321 996 $aModules over discrete valuation domains$93804072 997 $aUNINA