Algebra

In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude.

This book is designed for students in engineering, physics and mathematics.

This volume presents a short guide to the extensive literature concerning semir- ings along with a complete bibliography.

This book is an example of fruitful interaction between (non-classical) propo- sitionallogics and (classical) model theory which was made possible due to categorical logic.

Life Cycle assessment (LCA) is a tool for environmental decision-support in relation to products from the cradle to the grave.

Preface All rings are assumed to be associative and (except for nilrings and some stipulated cases) to have nonzero identity elements.

Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added.

It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices.

In [Hardy and Williams, 1986] the authors exploited a very simple idea to obtain a linear congruence involving class numbers of imaginary quadratic fields modulo a certain power of 2.

The history of triangular norms started with the paper "e;Statistical metrics"e; [Menger 1942].

The theory of foliations and contact forms have experienced such great de- velopment recently that it is natural they have implications in the field of mechanics.

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.

This monograph is a continuation of several themes presented in my previous books [146, 149].

This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics.

The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions.

Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra.

very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold .

The present book is a monograph including some recent results of mea- sure and integration theory.

The first chapter deals with idempotent analysis per se .

Semiorder is probably one of the most frequently ordered structures in science.

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.

0.

This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994.

The theory of operator algebras acting on a Hilbert space was initiated in thirties by papers of Murray and von Neumann.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Statistical Analysis of Observations of Increasing Dimension is devoted to the investigation of the limit distribution of the empirical generalized variance, covariance matrices, their eigenvalues and solutions of the system of linear algebraic equations with random coefficients, which are an important function of observations in multidimensional statistical analysis.

Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures.

This book is an extensively revised version of my textbook "e; esodot HaAlgebra HaLiniarit"e; (The Foundations of Linear Algebra) used at many universities in Israel.

This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93.

This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992.

Invariant, or coordinate-free methods provide a natural framework for many geometric questions.

Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re- search articles during the past two decades.

A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way.

Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics.

Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy.

This volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics.

This book contains nineteen papers from among the twenty-five papers presented at the Second International Conference on Fibonacci Numbers and Their Applications.

Approach your problems from the right end It isn't that they can't see the solution.

These two volumes constitute the Proceedings of the `Conference Moshe Flato, 1999'.

In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers.

This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al- gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997.

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.

The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac- tivities by the Caribbean Mathematics Foundation (abbr.

In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics.