This book will be useful either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : MW Books, New York, NY, Etats-Unis
1st edition. Fine paperback copy. Particularly well-preserved; tight, bright and clean. Previous owner's signature. Physical description; 126 pp. Notes; Includes bibliographical references (pp. 108-121) and index. Contents; Chapter 1: Injectivity and related concepts; 1.A-injective modules; 2.Quasi-injective modules; 3.Exchange and cancellation properties; 4.Decomposition theorems; Comments; Chapter 2: Quasi-continuous modules; 1.Basic properties; 2.Direct sums of quasi-continuous modules; 3.Decompositions of quasi-continuous modules; 4.Internal cancellation property; 5.Quasi-continuity versus quasi-injectivity; Comments; Chapter 3: Continuous modules; 1.Endomorphism rings; 2.Continuous modules; 3.The exchange property; Comments; Chapter 4: Quasi-discrete modules; 1.Definition and basic results2.Decomposition theorems; 3.Applications of the decomposition theorems; 4.Discreteness and projectivity; 5.Quasi-discreteness of direct sums; Comments; Chapter 5: Discrete modules; 1.Discrete modules; 2.Endomorphism rings; 3.Commutative noetherian rings; Comments; Appendix; 1.Variants of supplementation; 2.Supplements are summands; 3.Extending modules; 4.The historial origin of the concept of; 5.N -continuity; 6.Open questions; Bibliography; Notation; Index. Subjects; Injective modules. Projective modules. Representations of rings. Decomposition. Algebra. Mathematics. 3 Kg. N° de réf. du vendeur 385893
Quantité disponible : 1 disponible(s)
Vendeur : MW Books, New York, NY, Etats-Unis
First Edition. Near fine paperback copy; edges very slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: 126 pages. Subject: Injective modules (Algebra). Projective modules (Algebra). Representations of rings (Algebra). Decomposition (Mathematics). Modules (Algebra).Injective modules. 3 Kg. N° de réf. du vendeur 383665
Quantité disponible : 1 disponible(s)
Vendeur : MW Books Ltd., Galway, Irlande
1st edition. Fine paperback copy. Particularly well-preserved; tight, bright and clean. Previous owner's signature. Physical description; 126 pp. Notes; Includes bibliographical references (pp. 108-121) and index. Contents; Chapter 1: Injectivity and related concepts; 1.A-injective modules; 2.Quasi-injective modules; 3.Exchange and cancellation properties; 4.Decomposition theorems; Comments; Chapter 2: Quasi-continuous modules; 1.Basic properties; 2.Direct sums of quasi-continuous modules; 3.Decompositions of quasi-continuous modules; 4.Internal cancellation property; 5.Quasi-continuity versus quasi-injectivity; Comments; Chapter 3: Continuous modules; 1.Endomorphism rings; 2.Continuous modules; 3.The exchange property; Comments; Chapter 4: Quasi-discrete modules; 1.Definition and basic results2.Decomposition theorems; 3.Applications of the decomposition theorems; 4.Discreteness and projectivity; 5.Quasi-discreteness of direct sums; Comments; Chapter 5: Discrete modules; 1.Discrete modules; 2.Endomorphism rings; 3.Commutative noetherian rings; Comments; Appendix; 1.Variants of supplementation; 2.Supplements are summands; 3.Extending modules; 4.The historial origin of the concept of; 5.N -continuity; 6.Open questions; Bibliography; Notation; Index. Subjects; Injective modules. Projective modules. Representations of rings. Decomposition. Algebra. Mathematics. 1 Kg. N° de réf. du vendeur 385893
Quantité disponible : 1 disponible(s)
Vendeur : MW Books Ltd., Galway, Irlande
First Edition. Near fine paperback copy; edges very slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: 126 pages. Subject: Injective modules (Algebra). Projective modules (Algebra). Representations of rings (Algebra). Decomposition (Mathematics). Modules (Algebra).Injective modules. 1 Kg. N° de réf. du vendeur 383665
Quantité disponible : 1 disponible(s)
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
Paperback. Etat : new. Paperback. Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory. Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521399753
Quantité disponible : 1 disponible(s)
Vendeur : California Books, Miami, FL, Etats-Unis
Etat : New. N° de réf. du vendeur I-9780521399753
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Vendeur : Antiquariat Bookfarm, Löbnitz, Allemagne
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 MOH 9780521399753 Sprache: Englisch Gewicht in Gramm: 250. N° de réf. du vendeur 2505578
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Vendeur : Antiquariat Bookfarm, Löbnitz, Allemagne
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 MOH 9780521399753 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2499144
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In. N° de réf. du vendeur ria9780521399753_new
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 144 pages. 8.90x6.00x0.40 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521399750
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