ترغب بنشر مسار تعليمي؟ اضغط هنا

Right-topological semigroup operations on inclusion hyperspaces

240   0   0.0 ( 0 )
 نشر من قبل Taras Banakh
 تاريخ النشر 2008
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

We show that for any discrete semigroup $X$ the semigroup operation can be extended to a right-topological semigroup operation on the space $G(X)$ of inclusion hyperspaces on $X$. We detect some important subsemigroups of $G(X)$, study the minimal ideal, the (topological) center, left cancelable elements of $G(X)$, and describe the structure of the semigroups $G(IZ_n)$ for small numbers $n$.

قيم البحث

اقرأ أيضاً

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 c onstruct a (consistent) example of a pseudocompact (countably compact) Tychonov semigroup containing a copy of C(p,q).
149 - V.K. Kharchenko 2007
Let $H$ be a character Hopf algebra. Every right coideal subalgebra that contains the coradical has a PBW-basis which can be extended up to a PBW-basis of $H.$
We study the relations between a generalization of pseudocompactness, named $(kappa, M)$-pseudocompactness, the countably compactness of subspaces of $beta omega$ and the pseudocompactness of their hyperspaces. We show, by assuming the existence of $ mathfrak c$-many selective ultrafilters, that there exists a subspace of $beta omega$ that is $(kappa, omega^*)$-pseudocompact for all $kappa<mathfrak c$, but $text{CL}(X)$ isnt pseudocompact. We prove in ZFC that if $omegasubseteq Xsubseteq betaomega$ is such that $X$ is $(mathfrak c, omega^*)$-pseudocompact, then $text{CL}(X)$ is pseudocompact, and we further explore this relation by replacing $mathfrak c$ for some small cardinals. We provide an example of a subspace of $beta omega$ for which all powers below $mathfrak h$ are countably compact whose hyperspace is not pseudocompact, we show that if $omega subseteq X$, the pseudocompactness of $text{CL}(X)$ implies that $X$ is $(kappa, omega^*)$-pseudocompact for all $kappa<mathfrak h$, and provide an example of such an $X$ that is not $(mathfrak b, omega^*)$-pseudocompact.
220 - Maysam Maysami Sadr 2019
We prove that for every group $G$ and any two sets $I,J$, the Brandt semigroup algebras $ell(B(I,G))$ and $ell(B(J,G))$ are Morita equivalent with respect to the Morita theory of self-induced Banach algebras introduced by Gronbaek. As applications, w e show that if $G$ is an amenable group, then for a wide class of Banach $ell(B(I,G))$-bimodules $E$, and every $n>0$, the bounded Hochschild cohomology groups $H^n(ell(B(I,G)),E^*)$ are trivial, and also, the notion of approximate amenability is not Morita invariant.
191 - Taras Banakh , Olena Hryniv 2010
We study algebraic and topological properties of subsemigroups of the hyperspace exp(G) of non-empty compact subsets of a topological group G endowed with the Vietoris topology and the natural semigroup operation. On this base we prove that a compact Clifford topological semigroup S is topologically isomorphic to a subsemigroup of exp(G) for a suitable topological group G if and only if S is a topological inverse semigroup with zero-dimensional idempotent semilattice.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا