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Semigroups of right quotients of topological semigroups [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1970
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
openalex   +3 more sources

On the Cohomology of Topological Semigroups

open access: yesCommunications in Advanced Mathematical Sciences, 2019
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
doaj   +4 more sources

Embedding topological semigroups in topological groups [PDF]

open access: bronzeSemigroup Forum, 1970
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
  +5 more sources

Topological Additively Representable Semigroups

open access: bronzeJournal of Mathematical Analysis and Applications, 1997
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
openalex   +3 more sources

Embedding the bicyclic semigroup into countably compact topological semigroups

open access: greenTopology and its Applications, 2010
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
openalex   +4 more sources

Topological semigroups and representations. I [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1974
James C. S. Wong
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A generalization of amenability for topological semigroups and semigroup algebras

open access: greenHacettepe Journal of Mathematics and Statistics, 2016
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
openalex   +6 more sources

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