04368nam 2200685K 450 991078030980332120230417132655.00-429-16436-X0-8247-5081-0(CKB)111090425040904(EBL)216580(OCoLC)55020147(SSID)ssj0000238409(PQKBManifestationID)11187781(PQKBTitleCode)TC0000238409(PQKBWorkID)10233083(PQKB)10598650(MiAaPQ)EBC216580(Au-PeEL)EBL216580(CaPaEBR)ebr11164245(OCoLC)1143695749(OCoLC-P)1143695749(FlBoTFG)9780429164361(EXLCZ)9911109042504090420200309e20202004 uy 0engurcnu|||unuuutxtccrRings, modules, algebras and abelian groups /edited by Alberto Facchini, Evan Houston, Luigi Salce[Boca Raton] :CRC Press,[2020]1 online resource (525 p.)Lecture notes in pure and applied mathematics ;volume 236First published 2004 by Marcel Dekker.1-138-40183-8 0-8247-4807-7 Includes bibliographical references.Preface; Contents; Participants to the Conference; Contributors; Additive Galois Theory of Modules; Finitely Generated and Cogenerated QD Groups; Direct Limits of Modules of Finite Projective Dimension; Classification of a Class of Almost Completely Decomposable Groups; A Polynomial Ring Sampler; The Picard Group of the Ring of Integer-valued Polynomials on a Valuation Domain; A Note on Cotilting Modules and Generalized Morita Duality; Dualities Induced by Cotilting Bimodules; Symmetries and Asymmetries for Cotilting BimodulesA Constructive Solution to the Base Change Decomposition Problem in B(1)-groupsOn a Property of the Adele Ring of the Rationals; On Strong Going-between, Going-down, and Their Universalizations; Factorization of Divisorial Ideals in a Generalized Krull Domain; Divisorial Multiplication Rings; Global Deformations of Lie Algebras; Maximal Prime Divisors in Arithmetical Rings; On Strongly Flat Modules over Matlis Domains; Group Identities on Unit Groups of Group Algebras; Forty Years of Commutative Ring Theory; Modules Induced from a Normal Subgroup of Prime IndexUniquely Transitive Torsion-free Abelian GroupsGeneralized E-Rings; Butler Modules and Bext; Remarks on the Multiplicative Structure of Certain One-dimensional Integral Domains; Non-finitely Generated Prime Ideals in Subrings of Power Series Rings; Rings with Finitely Many Orbits under the Regular Action; Projective Covers and Injective Hulls in Abelian Length Categories; Semigroup Rings that are Inside Factorial and their Cale Representation; Reduced Modules; The Mori Property in Rings with Zero Divisors; Minimal Prime Ideals and Generalizations of Factorial DomainsFactorizations of Monic PolynomialsMonotone Complete Ordered Fields, Generalized Power Series, and Integer Parts; On Distance between Finite Rings; Affine Pairs; When a Super-decomposable Pure-injective Module over a Serial Ring Exists; Path Coalgebras of Quivers with Relations and a Tame-wild Dichotomy Problem for Coalgebras; On Central Galois Algebras of a Galois AlgebraSurveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, commutative rings, module and ring theory, and topological algebraic structures-providing more than 600 current references and 570 display equations for further exploration of the topic.Lecture notes in pure and applied mathematics ;v. 236.Abelian groupsRings (Algebra)Modules (Algebra)Abelian groups.Rings (Algebra)Modules (Algebra)512/.25Facchini AlbertoHouston Evan1948-Salce LuigiOCoLC-POCoLC-PBOOK9910780309803321Rings, modules, algebras and abelian groups670568UNINA