Results 141 to 150 of about 1,361 (185)

Rank and Status in Semigroup Theory

Communications in Algebra, 2004
Abstract For each generating set A of a finite semigroup S the integer Δ(A) is defined as the least n for which every element of S is expressible as a product of at most n elements of A. The status of S is defined as the least value of |A|Δ(A) among generating sets of A.
CHERUBINI, ALESSANDRA, J. Howie, B. Piochi   +2 more
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Techniques of Semigroup Theory

1992
Abstract This book introduces recently developed ideas and techniques in semigroup theory to provide a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in ...
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Semigroups and Perturbation Theory

1978
A semigroup may be defined as a subset of a group which contains the unit and is closed under multiplication. But the only one to be considered in this chapter is that of all non-negative reals, as a subset of the group of all real numbers under addition. This is the basic case for extension to Lie semigroups, just as the theory of one-parameter groups
Irving E. Segal, Ray A. Kunze
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Introduction to semigroup theory

2007
In this paper some basic system theoretic concepts will be introduced for abstract systems of the form $$\dot x\left( t \right) = Ax\left( t \right) + Bu\left( t \right), x\left( 0 \right) = x^0 , y\left( t \right) = Cx\left( t \right)$$ (1) Here A is the infinitesimal generator of a strongly continuous semigroup S(t) on a Banach space Z and ...
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Semigroup Theory in Aeroelasticity

2000
Aerolasticity mixes Structural Dynamics with Aerodynamics—a “Tale of Two Semigroups,” so to speak. A fundamental problem — determining the bending-pitching wing-flutter speed in subsonic compressible flow — formulates as the asymptotic stability of the initial value problem for a Convolution-Semigroup equation in a Hilbert space of the form: $$\dot{
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Operator Theory and Semigroups

2016
In this chapter we introduce some basic tools from operator and semigroup theory. The class of sectorial operators is studied in detail, its functional calculus is introduced, leading to analytic semigroups and complex powers.
Jan Prüss, Gieri Simonett
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Semigroups in Probability Theory

1991
Semigroups are very natural and general structures and enter our mathematical life from the very beginning (N with respect to addition, multiplication, maximum or minimum, sets with respect to union or intersection). Due to their simple axioms they are very often and easily found.
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Fundamentals of Semigroup Theory

1995
Abstract This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups.
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Convolution Semigroups in Noncommutative Probability Theory

Theory of Probability & Its Applications, 1992
See the review Zbl 0746.46059.
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Semigroup Theory

1995
Ruth Curtain, Hans Zwart
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