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Commutative Algebra
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Algebras, Representations and Applications
This volume contains contributions from the conference on "Algebras, Representations and Applications" (Maresias, Brazil, August 26-September 1, 2007), in honor of Ivan Shestakov's 60th birthday. The collection of papers presented here is of great interest to graduate students and researchers working in the theory of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum Groups, Group Rings and other topics.
The Demotic Magical Papyrus of London and Leiden
How to invoke Anubis and release the dead . . . how to divine with a lamp . . . how to conjure up a damned spirit . . . how to have dream visions . . . how to make magic ointments . . . how to blind or kill your enemies . . . how to use the charm of the ring . . . how to invoke Thoth and bring good fortune . . . These are among the many topics of practical magic contained in the so-called Leyden Papyrus, an ancient Egyptian manuscript that dates from around the beginning of the Christian era. Probably the textbook of a practicing sorcerer in Egypt, this remarkable work contains scores of spells which the writer firmly believes will work: sex magic of various sorts, occult information, evokin...
Twenty-Four Hours of Local Cohomology
This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Grobner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Extension Problems and Stable Ranks
This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.
Languages, Methodologies and Development Tools for Multi-Agent Systems
This book constitutes the thoroughly refereed post-workshop proceedings of the First International Workshop on Languages, Methodologies and Development Tools for Multi-Agent Systems, LADS 2007, held in Durham, UK, in September 2007. The workshop was part of MALLOW 2007, a federation of workshops on Multi-Agent Logics, Languages, and Organizations. The 15 revised full papers, presented together with 1 invited paper reporting the aims and achievements of the OpenKnowledge project, were carefully reviewed and selected from 32 submissions. The papers are organized in topical sections on agent reasoning and semantics, declarative languages and technologies, methodologies and design, and development frameworks.
Algebraic and Geometric Combinatorics
This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
A Compendium of Continuous Lattices
A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was le...
Computer Performance Engineering
This book constitutes the proceedings of the Fifth European Performance Engineering Workshop, EPEW 2008, held in Palma de Mallorca, Spain, in September 24-25, 2008. The 17 papers presented in this volume, together with abstracts of 2 invited papers, were carefully reviewed and selected from 39 submissions. The topics covered are software performance engineering; stochastic process algebra and SANs; performance query specification and measurement; computer and communications networks; queueing theory and Markov chains; and applications.
