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Semigroups of right quotients of topological semigroups [PDF]
Introduction. Let S= (S, -) be a semigroup and T= QT(S, E) a semigroup of right quotients of S with respect to a subsemigroup E of S (cf. ?2). Suppose that S is equipped with a topology S which makes (S, ., C) into a topological semigroup. The purpose of this paper is to investigate topologies Z on T with the properties that (T, *, Z) is a topological ...
Hanns Joachim Weinert
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On the Cohomology of Topological Semigroups
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr+1 more
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Embedding topological semigroups in topological groups [PDF]
In [6] Rothman investigated the problem of embedding a topological semigroup in a topological group. He defined a concept calledProperty F and showed that Property F is a necessary and sufficient condition for embedding a commutative, cancellative topological semigroup in its group of quotients as an open subset.
Sheila A. McKilligan
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Topological Additively Representable Semigroups
AbstractWe analyze the structure of nontrivial totally ordered connected topological semigroups (S,+,≲), and prove that they are homeomorphic, algebraically isomorphic, and isotonic to one of the following continua: ((a,∞),+,≤), ([a,∞),+,≤), (a≥0) ((−∞,b),+,≤), ((−∞,b],+,≤), (b≤0) or (R,+,≤), all considered as subsets of the totally ordered group of ...
Juan C. Candeal+2 more
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Embedding the bicyclic semigroup into countably compact topological semigroups
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p,q). On the other hand, we construct a (consistent) example of a pseudocompact (countably compact) Tychonov semigroup containing a ...
Тарас Банах+2 more
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Construction functors for topological semigroups [PDF]
T.T. Bowman
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Topological semigroups and representations. I [PDF]
James C. S. Wong
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EMBEDDINGS OF TOPOLOGICAL SEMIGROUPS IN TOPOLOGICAL GROUPS AND SEMIGROUP-VALUED MEASURES [PDF]
Lech Drewnowski
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A generalization of amenability for topological semigroups and semigroup algebras
In this paper for two topological semigroups $S$ and $T$, and a continuous homomorphism $\varphi$ from $S$ into $T$, we introduce and study the concept of $(\varphi, T)$-derivations on $S$ and $\varphi$-amenability of $T$ and investigate the relations between these two concepts. For two Banach algebras $A$ and $B$ and a continuous homomorphism $\varphi$
M. Lashkarezadeh Bami
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On the invariant mean on topological semigroups and on topological groups [PDF]
Edmond E. Granirer
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