semigroup theory


Also found in: Dictionary.

semigroup theory

[′sem·i‚grüp ‚thē·ə·rē]
(mathematics)
The formal algebraic study of the structure of semigroups.
Mentioned in ?
References in periodicals archive ?
We show the existence of [U.sup.(n)] for given [U.sup.(n-1)] by the semigroup theory and the energy estimate for [U.sup.(n)].
Howie, Fundamentals of Semigroup Theory, Academic Press, London, UK, 1995.
The authors proved the asymptotic stability of the closed loop system under the robust boundary control scheme by using the semigroup theory provided that the lower bound of the tension [T.sub.s](x,t) is sufficiently bigger than the derivatives of tension [T.sub.s] [(x,t).sub.t] and [([T.sub.s](x,t)).sub.x].
Firstly, in terms of semigroup theory, the solution (v, [phi]) of system [(33).sub.1]-[(33).sub.2] has the following expression:
Based on the operator semigroup theory, Chao and his coauthors give a sufficient condition of P-type and D-type learning algorithm for a class of parabolic distributed parameter systems [17].
Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, UK, 1995.
Howie, Fundamentals of semigroup theory, Oxford: Oxford Science Publication, 1995.
Ahmed, Semigroup Theory with Applications to Systems and Control, in: Pitman Research Notes in Mathematics Series, vol.
An -semigroup is the generalization of a semigroup theory [12] and has vast applications in collaboration with semigroup like other branches of mathematics.
The current work is part of an attempt (initiated in [20]) to generalize some of those latest results from semigroups to partially ordered semigroups, and belongs to a line of research trying to establish generalizations of various results of semigroup theory to partially ordered semigroups (e.g.
(In the semigroup theory literature, the dual of this preorder is known as Green's R-preorder.)
Even in the degenerate case ([l.sub.[beta]] = 0), the choice here is fixed on a semi-implicit scheme arising in works using nonlinear semigroup theory for the resolution of solidification problems.