02948nam 2200721Ia 450 991078277790332120230721004318.01-282-19654-597866121965463-11-020578-510.1515/9783110205787(CKB)1000000000691499(EBL)364705(OCoLC)476197233(SSID)ssj0000204722(PQKBManifestationID)11168590(PQKBTitleCode)TC0000204722(PQKBWorkID)10189172(PQKB)10120478(MiAaPQ)EBC364705(DE-B1597)34145(OCoLC)471132559(OCoLC)979582012(DE-B1597)9783110205787(Au-PeEL)EBL364705(CaPaEBR)ebr10256409(CaONFJC)MIL219654(EXLCZ)99100000000069149920080402d2008 uy 0engur|||||||||||txtccrModules over discrete valuation domains[electronic resource] /by Piotr A. Krylov and Askar A. TuganbaevBerlin ;New York de Gruyterc20081 online resource (368 p.)De Gruyter expositions in mathematics ;43Description based upon print version of record.3-11-020053-8 Includes bibliographical references and index. Frontmatter -- Contents -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and complete modules -- Chapter 4 Representation of rings by endomorphism rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their endomorphism rings -- Chapter 8 Modules with many endomorphisms or automorphisms -- BackmatterThis 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.De Gruyter expositions in mathematics ;43.Modules (Algebra)Commutative algebraAlgebra: Ring.Discrete Valuation Domain.Module Theory.Modules (Algebra)Commutative algebra.512/.42510sdnbSK 230rvkKrylov Piotr A1547604Tuganbaev Askar A518404MiAaPQMiAaPQMiAaPQBOOK9910782777903321Modules over discrete valuation domains3804072UNINA