Published May 31, 2001
by Springer .
Written in English
|The Physical Object|
|Number of Pages||280|
The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups . Open Library is an open, editable library catalog, building towards a web page for every book ever published. Special Classes of Semigroups by A. Nagy, . In semigroup theory there are certain kinds of band decompositions, which are useful in the study of the structure semigroups. This book focuses attention on such classes of semigroups and provides a systematic review on this subject. In this chapter we deal with semigroups in which, for every elements a and b, there is a non-negative integer k such that (ab) m+k =a m b m =(ab) k a m b m, where m is a fixed i n te g er m ≥ 2. These se m igrou p s are c a lled WE- m se m igroups. It is clear that every E-m semigroup is a WE-m semigroup.
There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. Abstract. In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups There are a number of special semigroup classes in which these decompositions can be used very successfully The book focuses attention on such classes of semigroups Some of them are partially discussed in earlier books, but in the last thirty years new Cited by: rows A special class of semigroups is a class of semigroups satisfying additional properties . 14 Semigroups of operators. The last three equations have the common property that they can formally be considered as equations of the form ∂tu(t) = Bu(t), () where t7→u(t) is a function from the time axis into a space of functions of x, where Boperates. For (), Bacts like ∆, for () like i∆.File Size: KB.
This paper will focus on a special class of linear semigroups called C. 0 semigroups which are semigroups of strongly continuous bounded linear operators. The theory of these semigroups will be presented along with some examples which tend to arise in many areas of application. Structure theorems are established for the class of general quasi-orthodox semigroups and for some special classes of quasi-orthodox semigroups. In particular the concept of spined product of orthodox semigroups with (P) is introduced, and it is shown that an orthodox semigroup S is isomorphic to the spined product. Compact semigroups Edit. A strongly continuous semigroup T is called eventually compact if there exists a t0 > 0 such that T (t0) is a compact operator (equivalently if T (t) is a compact operator for all t ≥ t0). The semigroup is called immediately compact if T (t) is a compact operator for all t > 0. Semigroups, algebras with a single associative binary operation, is probably the most mature of the three disciplines with deep results. Universal Algebra treats algebras with several operations, e.g., groups, rings, lattices and other classes of known algebras, and it has borrowed from formal logics and the results of various classes.