Sheaves Of Algebras Over Boolean Spaces
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Author | : Arthur Knoebel |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2011-12-16 |
Genre | : Mathematics |
ISBN | : 0817646426 |
This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory. The author uses various tools to develop new applications of classical concepts. Detailed proofs are given for all major theorems, about half of which are completely new. Sheaves of Algebras over Boolean Spaces will take readers on a journey through sheaf theory, an important part of universal algebra. This excellent reference text is suitable for graduate students, researchers, and those who wish to learn about sheaves of algebras.
Author | : Yves Diers |
Publisher | : Springer |
Total Pages | : 174 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540397965 |
Author | : M. P. Fourman |
Publisher | : Springer |
Total Pages | : 798 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540348492 |
Author | : Stephen D. Comer |
Publisher | : |
Total Pages | : 40 |
Release | : 1970 |
Genre | : Algebra, Universal |
ISBN | : |
Author | : John R. Liukkonen |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : 0821818481 |
From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.
Author | : |
Publisher | : |
Total Pages | : 190 |
Release | : 1979 |
Genre | : Algebra |
ISBN | : |
Author | : Paul R. Halmos |
Publisher | : Courier Dover Publications |
Total Pages | : 163 |
Release | : 2018-09-12 |
Genre | : Mathematics |
ISBN | : 0486834573 |
This presentation on the basics of Boolean algebra has ranked among the fundamental books on this important subject in mathematics and computing science since its initial publication in 1963. Concise and informal as well as systematic, the text draws upon lectures delivered by Professor Halmos at the University of Chicago to cover many topics in brief individual chapters. The approach is suitable for advanced undergraduates and graduate students in mathematics. Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.
Author | : Heinrich Werner |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 104 |
Release | : 1979-01-14 |
Genre | : Mathematics |
ISBN | : 3112733339 |
Keine ausführliche Beschreibung für "Discriminator-Algebras" verfügbar.
Author | : Roman Sikorski |
Publisher | : Springer Science & Business Media |
Total Pages | : 248 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642858201 |
There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs.
Author | : Steven Givant |
Publisher | : Springer Science & Business Media |
Total Pages | : 589 |
Release | : 2008-12-02 |
Genre | : Mathematics |
ISBN | : 0387402934 |
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.