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E-BooksGivant S Introduction to Relation Algebras Vol 1 2017




Givant S  Introduction to Relation Algebras Vol 1  2017

Givant S Introduction to Relation Algebras Vol 1 2017 | 5.51 MB
N/A | 596 Pages

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Author: N/A
Year: N/A




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E-BooksGroups, Rings, Lie and Hopf Algebras



Groups, Rings, Lie and Hopf Algebras
Groups, Rings, Lie and Hopf Algebras by Yuri Bahturin
English | PDF | 2003 | 240 Pages | ISBN : 1402012209 | 21 MB
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time.



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E-BooksStereotype Spaces and Algebras



Stereotype Spaces and Algebras
English | 2022 | ISBN: 3110780860 | 794 pages | True PDF EPUB | 82.08 MB
The term "stereotype space" was introduced in 1995 and is used for a category of locally convex spaces with surprisingly elegant properties. In particular, it consists of spaces reflexive in the sense of Pontryagin, and at the same time it is very wide, since it contains all Fréchet spaces. Its study gives an unexpected point of view on functional analysis that brings this field closer to other main branches of mathematics, namely, to algebra and geometry.



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E-BooksBanach Algebras of Ultrametric Functions



Banach Algebras of Ultrametric Functions
English | 2022 | ISBN: 9811251657 | 323 pages | True PDF EPUB | 25.54 MB
This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner–Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.
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E-BooksFinite-Dimensional Division Algebras over Fields



Finite-Dimensional Division Algebras over Fields
Finite-Dimensional Division Algebras over Fields By Nathan Jacobson (auth.)
1996 | 284 Pages | ISBN: 3540570292 | PDF | 8 MB
Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm.Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK).



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E-BooksOctonions, Jordan Algebras and Exceptional Groups



Octonions, Jordan Algebras and Exceptional Groups
Tonny A. Springer, Ferdinand D. Veldkamp, "Octonions, Jordan Algebras and Exceptional Groups"
English | 2000 | pages: 216 | ISBN: 3540663371, 3642085636 | DJVU | 1,6 mb
The 1963 Göttingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.



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E-BooksYetter-Drinfel'd Hopf Algebras over Groups of Prime Order



Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order
Yorck Sommerhäuser, "Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order"
English | 2002 | pages: 155 | ISBN: 3540437991 | PDF | 1,5 mb
Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.



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E-BooksGraded Algebras in Algebraic Geometry





Graded Algebras in Algebraic Geometry
English | 2022 | ISBN: 3110637545, 978-3110637540 | 465 pages | True PDF | 7.19 MB
The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.

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E-BooksHopf Algebras and Their Generalizations from a Category Theoretical Point of View






Hopf Algebras and Their Generalizations from a Category Theoretical Point of View
Hopf Algebras and Their Generalizations from a Category Theoretical Point of View by Gabriella Böhm
English | EPUB | 2018 | 170 Pages | ISBN : 3319981366 | 5.5 MB
These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications.



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E-BooksAssociative Algebras Rs Pierce 1982




Associative Algebras Rs Pierce 1982


Associative Algebras Rs Pierce 1982
pdf | 58.28 MB | English | Isbn:‎ 978-1475701654 | Author: halbulario | Year: 1982





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