Continuous and Discrete Modules (London Mathematical Society Lecture Note Series, Series Number 147) (Volume 0) - Softcover
Book 123 of 387: London Mathematical Society Lecture Notes
Synopsis
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.
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Book Description
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.
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Continuous and discrete modules / Saad H. Mohamed, Bruno J. Müller
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Cambridge : Cambridge University Press, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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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. Seller Inventory # 385893
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Continuous and discrete modules / Saad H. Mohamed, Bruno J. Müller
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Cambridge : Cambridge University Press, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
Used
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First Edition
Seller: MW Books, New York, NY, U.S.A.
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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. Seller Inventory # 383665
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Continuous and discrete modules / Saad H. Mohamed, Bruno J. Müller
Published by
Cambridge : Cambridge University Press, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
Used
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First Edition
Seller: MW Books Ltd., Galway, Ireland
Seller rating 5 out of 5 stars
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. Seller Inventory # 385893
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Continuous and discrete modules / Saad H. Mohamed, Bruno J. Müller
Published by
Cambridge : Cambridge University Press, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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First Edition
Seller: MW Books Ltd., Galway, Ireland
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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. Seller Inventory # 383665
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Continuous and Discrete Modules (Paperback)
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Cambridge University Press, Cambridge, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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Paperback. Condition: 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. Seller Inventory # 9780521399753
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Continuous and Discrete Modules (London Mathematical Society Lecture Note Series, Series Number 147) (Volume 0)
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ISBN 10: 0521399750
ISBN 13: 9780521399753
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Continuous and discrete modules S.H. Mohamed and Bruno J. Müller. Lecture note series 147.
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Cambridge, Cambridge University Press [1990]., 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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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. Seller Inventory # 2505578
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Continuous and discrete modules S.H. Mohamed and Bruno J. Müller. Lecture note series 147.
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Cambridge New York , Cambridge University Press [1990]., 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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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. Seller Inventory # 2499144
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Continuous and Discrete Modules (London Mathematical Society Lecture Note Series, Series Number 147) (Volume 0)
Published by
Cambridge University Press, 1990
ISBN 10: 0521399750
ISBN 13: 9780521399753
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Continuous and Discrete Modules
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