Author: Jesse Elliott
Publisher: Springer Nature
ISBN: 3030244016
Category : Mathematics
Languages : en
Pages : 490
Book Description
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Rings, Modules, and Closure Operations
Author: Jesse Elliott
Publisher: Springer Nature
ISBN: 3030244016
Category : Mathematics
Languages : en
Pages : 490
Book Description
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Publisher: Springer Nature
ISBN: 3030244016
Category : Mathematics
Languages : en
Pages : 490
Book Description
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
A Closure Operation in Rings
Author: Ara, Pere
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Integral Closure of Ideals, Rings, and Modules
Author: Craig Huneke
Publisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Publisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Tight Closure and Its Applications
Author: Craig Huneke
Publisher: American Mathematical Soc.
ISBN: 082180412X
Category : Mathematics
Languages : en
Pages : 152
Book Description
This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.
Publisher: American Mathematical Soc.
ISBN: 082180412X
Category : Mathematics
Languages : en
Pages : 152
Book Description
This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.
Near-rings: The Theory and its Applications
Author:
Publisher: Elsevier
ISBN: 0080871348
Category : Mathematics
Languages : en
Pages : 487
Book Description
Near-rings: The Theory and its Applications
Publisher: Elsevier
ISBN: 0080871348
Category : Mathematics
Languages : en
Pages : 487
Book Description
Near-rings: The Theory and its Applications
The Use of Ultraproducts in Commutative Algebra
Author: Hans Schoutens
Publisher: Springer Science & Business Media
ISBN: 3642133673
Category : Mathematics
Languages : en
Pages : 215
Book Description
Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.
Publisher: Springer Science & Business Media
ISBN: 3642133673
Category : Mathematics
Languages : en
Pages : 215
Book Description
Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.
Closure Operations in Commutative Rings
Author: Chloette Joy Samsam
Publisher:
ISBN:
Category : Integral closure
Languages : en
Pages : 126
Book Description
The purpose of this study is to survey different types of closures and closure operations on commutative rings and ideals.
Publisher:
ISBN:
Category : Integral closure
Languages : en
Pages : 126
Book Description
The purpose of this study is to survey different types of closures and closure operations on commutative rings and ideals.
Technical Report
Author:
Publisher:
ISBN:
Category : Civil engineering
Languages : en
Pages : 570
Book Description
Publisher:
ISBN:
Category : Civil engineering
Languages : en
Pages : 570
Book Description
The Theory of Models
Author: J.W. Addison
Publisher: Elsevier
ISBN: 1483275345
Category : Mathematics
Languages : en
Pages : 513
Book Description
Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Publisher: Elsevier
ISBN: 1483275345
Category : Mathematics
Languages : en
Pages : 513
Book Description
Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Official Gazette of the United States Patent Office
Author: USA Patent Office
Publisher:
ISBN:
Category :
Languages : en
Pages : 2282
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 2282
Book Description