| Description |
1 online resource (xx, 497 pages) : illustrations |
| Series |
Lecture notes in pure and applied mathematics ; v. 236 |
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Lecture notes in pure and applied mathematics ; v. 236.
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| Contents |
Additives Galois theory of modules / Ross Abraham and Phill Schultz -- Finitely generated and cogenerated QD groups / Ulrich Albrecht and Bill Wickless -- Direct limits of modules of finite projective dimension / Lidia Angeleri Hügel and Jan Trlifaj -- Classification of a class of almost completely decomposable groups / Ekaterina Blagoveshchenskaya -- A polynomial ring sampler / J. W. Brewer -- The Picard group of the ring of integer-valued polynomials on a valuation domain / Jean-Luc Chabert -- A note on cotilting modules and generalized Morita duality / Robert R. Colby, Riccardo Colpi, and Kent R. Fuller -- Dualities induced by cotilting bimodules / Riccardo Colpi -- Symmetries and asymmetries for cotilting bimodules / Gabriella D'Este -- A constructive solution to the base change decomposition problem in B¹-groups / Clorinda De Vivo and Claudia Metelli -- On a property of the Adele ring of the rationals / Dikran Dikranjan and Umberto Zannier -- On strong going-between, going-down, and their universalizations / David E. Dobbs and Gabriel Picavet -- Factorization of divisorial ideals in a generalized Krull domain / Said El Baghdadi -- Divisorial multiplication rings / José Escoriza and Blas Torrecillas -- Global deformations of lie algebras / Alice Fialowski -- Maximal prime divisors in arithmetical rings / Laszlo Fuchs, William Heinzer, and Bruce Olberding -- On strongly flat modules over Matlis domains / Laszlo Fuchs, Luigi Salce, and Jan Trlifaj -- Group identities on unit groups of group algebras / A. Giambruno and C. Polcino Milies -- Forty years of commutative ring theory / Robert Gilmer -- |
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Modules induced from a normal subgroup of prime index / S. P. Glasby -- Uniquely transitive torsion-free abelian groups / Rüdiger Göbel and Saharon Shelah -- Generalized e-rings / Rüdiger Göbel, Saharon Shelah, and Lutz Strüngmann -- Butler modules and Bext / Pat Goeters and Charles Vinsonhaler -- Remarks on the multiplicative structure of certain one-dimensional integral domains / Franz Halter-Koch, Wolfgang Hassler, and Florian Kainrath -- Non-finitely generated prime ideals in subrings of power series rings / William Heinzer, Christel Rotthaus, and Sylvia Wiegand -- Rings with finitely many orbits under the regular action / Yasuyuki Hirano -- Projective covers and injective hulls in abelian length categories / Otto Kerner -- Semigroup rings that are inside factorial and their Cale representation / Ulrich Krause -- Reduced modules / Tsiu-Kwen Lee and Yiqiang Zhou -- The Mori property in rings with zero divisors / Thomas G. Lucas -- Minimal prime ideals and generalizations of factorial domains / Peter Malcolmson and Frank Okoh -- Factorizations of monic polynomials / Stephen McAdam and Richard G. Swan -- Monotone complete ordered fields, generalized power series, and integer parts / Mojtaba Moniri and Jafar S. Eivazloo -- On distance between finite rings / Lkhangaa Oyuntsetseg and Takao Sumiyama -- Affine pairs / Ira J. Papick -- When a super-decomposable pure-injective module over a serial ring exists / Gena Puninski -- Path coalgebras of quivers with relations and a tame-wild dichotomy problem for coalgebras / Daniel Simson -- On central Galois algebras of a Galois algebra / George Szeto and Lianyong Xue |
| Summary |
The Algebra Conference - Venezia 2002 was held at the Venice International University (VTU) on the beautiful island of San Servolo in the Venice lagoon, from June 3 to 8, 2002. More than 190 mathematicians from 35 different countries attended the conference. The participants made the conference quite stimulating. It was organized in 12 main lectures and 6 plenary lectures in the mornings, and in six different sections in the afternoons, where more than 110 communications were presented. The six sections were as follows: Abelian groups, algebras and their representations, commutative rings, module theory, ring theory, and topological algebraic structures. The content of these Proceedings reflects the choice of these topics. The section on commutative rings was intended to celebrate the 30-year anniversary of the publication of Robert Gilmer's monograph "Multiplicative Ideal Theory". Indeed, Gilmer was one of the main speakers, and seven leading researchers in commutative ring theory gave survey talks on the development of the subject in the last 30 years. A declared goal of the conference was to bring together mathematicians working in different areas of algebra to make evident the connections and interactions among these areas. The editors believe that these Proceedings reflect the success of the conference in achieving this goal, and we trust that the reader will find confirmation of this |
| Bibliography |
Includes bibliographical references at chapter ends |
| Notes |
English |
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Print version record |
| Subject |
Abelian groups.
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Rings (Algebra)
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Modules (Algebra)
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MATHEMATICS -- Group Theory.
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Abelian groups
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Modules (Algebra)
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Rings (Algebra)
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Facchini, Alberto., editor
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Houston, Evan, 1948- editor.
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Salce, Luigi., editor
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| ISBN |
0824750810 |
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9780824750817 |
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0824748077 |
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9780824748074 |
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