Cyclic Homology in Non-Commutative Geometry, Joachim Cuntz; Georges Skandalis; Boris Tsygan

Автор: Manin Y.
Название: Topics in Non-Commutative Geometry
ISBN: 0691607168 ISBN-13(EAN): 9780691607160
Издательство: Wiley
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Цена: 33790.00 T
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Описание: There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application

Автор: Cornelius Greither
Название: Cyclic Galois Extensions of Commutative Rings
ISBN: 3540563504 ISBN-13(EAN): 9783540563501
Издательство: Springer
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Цена: 23250.00 T
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Описание: This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt`s conjecture on number theory from a new angle.

Автор: Loday, Jean-louis
Название: Cyclic homology
ISBN: 3642083161 ISBN-13(EAN): 9783642083167
Издательство: Springer
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Цена: 102480.00 T
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Описание: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology.

Автор: F.M.J. van Oystaeyen; A.H.M.J. Verschoren
Название: Non-commutative Algebraic Geometry
ISBN: 3540111530 ISBN-13(EAN): 9783540111535
Издательство: Springer
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Цена: 46540.00 T
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Автор: Emil Prodan
Название: A Computational Non-commutative Geometry Program for Disordered Topological Insulators
ISBN: 3319550225 ISBN-13(EAN): 9783319550220
Издательство: Springer
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Цена: 51230.00 T
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Описание: Disordered Topological Insulators: A Brief Introduction.- Homogeneous Materials.- Homogeneous Disordered Crystals.- Classification of Homogenous Disordered Crystals.- Electron Dynamics: Concrete Physical Models.- Notations and Conventions.- Physical Models.- Disorder Regimes.- Topological Invariants.- The Non-Commutative Brillouin Torus.- Disorder Configurations and Associated Dynamical Systems.- The Algebra of Covariant Physical Observables.- Fourier Calculus.- Differential Calculus.- Smooth Sub-Algebra.- Sobolev Spaces.- Magnetic Derivations.- Physics Formulas.- The Auxiliary C*-Algebras.- Periodic Disorder Configurations.- The Periodic Approximating Algebra.- Finite-Volume Disorder Configurations.- The Finite-Volume Approximating Algebra.- Approximate Differential Calculus.- Bloch Algebras.- Canonical Finite-Volume Algorithm.- General Picture.- Explicit Computer Implementation.- Error Bounds for Smooth Correlations.- Assumptions.- First Round of Approximations.- Second Round of Approximations.- Overall Error Bounds.- Applications: Transport Coefficients at Finite Temperature.- The Non-Commutative Kubo Formula.- The Integer Quantum Hall Effect.- Chern Insulators.- Error Bounds for Non-Smooth Correlations.- The Aizenman-Molchanov Bound.- Assumptions.- Derivation of Error Bounds.- Applications II: Topological Invariants.- Class AIII in d = 1.- Class A in d = 2.- Class AIII in d = 3.- References.

Автор: Patil Dilip P Et Al
Название: Introduction To Algebraic Geometry And Commutative Algebra
ISBN: 9814304565 ISBN-13(EAN): 9789814304566
Издательство: World Scientific Publishing
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Цена: 76030.00 T
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Описание: Suitable for a graduate course in pure mathematics, this title provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. It delves into the rich interplay between algebraic geometry and commutative algebra.

Автор: Gunnar Fl?ystad; Trygve Johnsen; Andreas Leopold K
Название: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
ISBN: 3642268285 ISBN-13(EAN): 9783642268281
Издательство: Springer
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Цена: 153720.00 T
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Описание: The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Soederberg theory, Schubert calculus, and quiver varieties.

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 110714972X ISBN-13(EAN): 9781107149724
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 1107065623 ISBN-13(EAN): 9781107065628
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.