Kähler Differentials (Advanced Lectures in Mathematics) (German Edition)

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9783528089733: Kähler Differentials (Advanced Lectures in Mathematics) (German Edition)
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This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge­ bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss "differential invariants" of algebras, and to prove theorems about algebras with "differential methods". The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules "linearize" problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type.

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Kunz, Ernst
Published by Friedrich Vieweg and Sohn Verlagsgesellschaft mbH (1986)
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Ernst Kunz
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ERNST KUNZ
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Book Description Vieweg+Teubner Verlag, 1986. Paperback. Condition: NEW. 9783528089733 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0418593

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Ernst Kunz
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Book Description Springer. Paperback. Condition: New. 402 pages. Dimensions: 9.0in. x 6.1in. x 0.9in.This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Khler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Khler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss differential invariants of algebras, and to prove theorems about algebras with differential methods. The most important object we study is the module of Khler differentials nR of an algebra SIR. Like the differentials of analysis, differential modules linearize problems, i. e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783528089733

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Ernst Kunz
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Book Description Vieweg & Teubner Verlag Jan 1986, 1986. Taschenbuch. Condition: Neu. Neuware - This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss 'differential invariants' of algebras, and to prove theorems about algebras with 'differential methods'. The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules 'linearize' problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type. 412 pp. Deutsch. Seller Inventory # 9783528089733

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Ernst Kunz
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Book Description Vieweg+Teubner Verlag, 1986. Paperback. Condition: Brand New. 410 pages. German language. 9.26x6.11 inches. In Stock. Seller Inventory # __3528089733

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Book Description Vieweg & Teubner Verlag Jan 1986, 1986. Taschenbuch. Condition: Neu. Neuware - This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss 'differential invariants' of algebras, and to prove theorems about algebras with 'differential methods'. The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules 'linearize' problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type. 412 pp. Deutsch. Seller Inventory # 9783528089733

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Book Description Vieweg & Teubner Verlag Jan 1986, 1986. Taschenbuch. Condition: Neu. Neuware - This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss 'differential invariants' of algebras, and to prove theorems about algebras with 'differential methods'. The most important object we study is the module of Kähler differentials n~/R of an algebra SIR. Like the differentials of analysis, differential modules 'linearize' problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type. 412 pp. Deutsch. Seller Inventory # 9783528089733

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Book Description Vieweg+Teubner Verlag, 1986. Condition: New. book. Seller Inventory # M3528089733

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