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Commutative Normed Rings
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Book Synopsis Commutative Normed Rings by : I. Gelfand
Download or read book Commutative Normed Rings written by I. Gelfand and published by American Mathematical Society. This book was released on 2001-10-31 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface (1960): “This book is devoted to an account of one of the branches of functional analysis, the theory of commutative normed rings, and the principal applications of that theory. It is based on [the authors'] paper written … in 1940, hard on the heels of the initial period of the development of this theory … The book consists of three parts. Part one, concerned with the theory of commutative normed rings and divided into two chapters; the first containing foundations of the theory and the second dealing with more special problems. Part two deals with applications to harmonic analysis and is divided into three chapters. The first chapter discusses the ring of absolutely integrable functions on a line with convolution as multiplication and finds the maximal ideals of this ring and some of its analogues. In the next chapter, these results are carried over to arbitrary commutative locally compact groups and they are made the foundation of the construction of harmonic analysis and the theory of characters. A new feature here is the construction of an invariant measure on the group of characters and a proof of the inversion formula for Fourier transforms that is not based on theorems on the representation of positive-definite functions or positive functionals … The last chapter of the second part—the most specialized of all the chapters—is devoted to the investigation of the ring of functions of bounded variation on a line with multiplication defined as convolution, including the complete description of the maximal ideals of this ring. The third part of the book is devoted to the discussion of two important classes of rings of functions: regular rings and rings with uniform convergence. The first of the chapters essentially studies the structure of ideals in regular rings. The chapter ends with an example of a ring of functions having closed ideals that cannot be represented as the intersections of maximal ideals. The second chapter discusses the ring $C(S)$ of all bounded continuous complex functions on completely regular spaces $S$ and various of its subrings … Since noncommutative normed rings with an involution are important for group-theoretical applications, the paper by I. M. Gelfand and N. A. Naimark, ‘Normed Rings with an Involution and their Representations’, is reproduced at the end of the book, slightly abridged, in the form of an appendix … This monograph also contains an account of the foundations of the theory of commutative normed rings without, however, touching upon the majority of its analytic applications … The reader [should] have knowledge of the elements of the theory of normed spaces and of set-theoretical topology. For an understanding of the fourth chapter, [the reader should] also know what a topological group is. It stands to reason that the basic concepts of the theory of measure and of the Lebesgue integral are also assumed to be known …”
Book Synopsis Commutative Normed Rings by : Izrailʹ Moiseevich Gelʹfand
Download or read book Commutative Normed Rings written by Izrailʹ Moiseevich Gelʹfand and published by Chelsea Publishing Company, Incorporated. This book was released on 1964 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Normed Rings by : I. M. Gel'fand
Download or read book Commutative Normed Rings written by I. M. Gel'fand and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Normed Rings, By I. Gelfand, D. Raikov, and G. Shilov by : Izrailʹ Moiseevich Gelʹfand
Download or read book Commutative Normed Rings, By I. Gelfand, D. Raikov, and G. Shilov written by Izrailʹ Moiseevich Gelʹfand and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Commutative Normed Rings by : John D. Wilkes
Download or read book Structure of Commutative Normed Rings written by John D. Wilkes and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Normed Rings by : I.M. Gelfand
Download or read book Commutative Normed Rings written by I.M. Gelfand and published by . This book was released on 1964 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Normed Rings. Gelfand by : Izrail Moiseevich Gelfand
Download or read book Commutative Normed Rings. Gelfand written by Izrail Moiseevich Gelfand and published by . This book was released on 1964 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Trends in Commutative Rings Research by : Ayman Badawi
Download or read book Trends in Commutative Rings Research written by Ayman Badawi and published by Nova Publishers. This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trends in Commutative Rings Research
Book Synopsis On Decomposition of a Commutative Normed Ring in a Direct Sum of Ideals by : Georgiĭ Evgenʹevich Šilov
Download or read book On Decomposition of a Commutative Normed Ring in a Direct Sum of Ideals written by Georgiĭ Evgenʹevich Šilov and published by . This book was released on 1955 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Ring Theory and Applications by : Marco Fontana
Download or read book Commutative Ring Theory and Applications written by Marco Fontana and published by CRC Press. This book was released on 2017-07-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome
Book Synopsis Normed Rings by : Mark Aronovich Naĭmark
Download or read book Normed Rings written by Mark Aronovich Naĭmark and published by . This book was released on 1964 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commutative Semigroup Rings by : Robert Gilmer
Download or read book Commutative Semigroup Rings written by Robert Gilmer and published by University of Chicago Press. This book was released on 1984-03-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.
Book Synopsis Noncommutative Rings by : I. N. Herstein
Download or read book Noncommutative Rings written by I. N. Herstein and published by American Mathematical Soc.. This book was released on 1994-12-31 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem, and the Golod–Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
Book Synopsis Commutative Ring Theory by : H. Matsumura
Download or read book Commutative Ring Theory written by H. Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.
Book Synopsis Determinantal Rings by : Winfried Bruns
Download or read book Determinantal Rings written by Winfried Bruns and published by Springer. This book was released on 2006-11-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.
Book Synopsis Commutative Ring Theory by : Paul-Jean Cahen
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Book Synopsis Normed Rings by : Mark Aronovich Naĭmark
Download or read book Normed Rings written by Mark Aronovich Naĭmark and published by . This book was released on 1970 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
