Representations of semigroups of idempotents
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولAdjoining Idempotents to Semigroups
Our paper is inspired by the paper [3] by M. Nathanson, in which he considers iteration of the process of adjoining identities or zeros to semigroups and characterizes the resulting semigroup in the case when one starts with the trivial semigroup. We consider also the third type of adjoining, namely, we adjoin idempotents “that behave like some already existing elements.” We investigate the pro...
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The known theory for an oid T shows how to find a subset T of ?T, which is a compact right topological semigroup [I]. The success of the methods in [2] for obtaining properties of-T has prompted us to see how successful they would be in another context. Thus we find (Theorem 4.8) that T cont ains copies of free semigroups on 2? generators, is an immediate consequence of the stronger resu...
متن کاملFundamental Semigroups Having a Band of Idempotents
The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider are weakly B-abundant and satisfy the congruence condition (C). Any orthodox semigroup S with E(S) ...
متن کاملIdempotents in Compact Semigroups and Ramsey Theory
We shall show here that van der Waerden’s theorem on arithmetic progressions and its variants, the Hales-Jewett theorem ([HJ]), the theorem of T. J. Carlson and S. G. Simpson ([CS]), and the theorem of T. J. Carlson (theorem 2 of [C]), can be obtained by an analysis of idempotents in compact semigroups. We obtain in this way a sharpening of Carlson’s result (which provides an “infinite” version...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1980
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1980.101687