Results 41 to 50 of about 10,259 (205)
Topological rigidity as a monoidal equivalence [PDF]
Communications in Algebra, 2019 A topological commutative ring is said to be rigid when for every set $X$, the topological dual of the $X$-fold topological product of the ring is isomorphic to the free module over $X$. Examples are fields with a ring topology, discrete rings, and normed algebras.
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Topological spaces versus frames in the topos of $M$-sets [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper we study topological spaces, frames, and their confrontation in the presheaf topos of $M$-sets for a monoid $M$. We introduce the internalization, of the frame of open subsets for topologies, and of topologies of points for frames, in our ...
Mojgan Mahmoudi, Amir H. Nejah
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Separation Property for wB- and wS-regular Languages [PDF]
Logical Methods in Computer Science, 2014 In this paper we show that {\omega}B- and {\omega}S-regular languages satisfy the following separation-type theorem If L1,L2 are disjoint languages of {\omega}-words both recognised by {\omega}B- (resp.
Michał Skrzypczak
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Bounded Sets in Topological Spaces
Axioms, 2022 Let G be a monoid that acts on a topological space X by homeomorphisms such that there is a point x0∈X with GU=X for each neighbourhood U of x0. A subset A of X is said to be G-bounded if for each neighbourhood U of x0 there is a finite subset F of G ...
Cristina Bors +2 more
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A bridge theorem for the entropy of semigroup actions
Topological Algebra and its Applications, 2020 The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
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Cohomology of Presheaves of Monoids
Mathematics, 2020 The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
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Математичні Студії, 2023 Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}.
O. V. Gutik, M. S. Mykhalenych
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The K-theory of toric varieties in positive characteristic [PDF]
, 2012 We show that if X is a toric scheme over a regular ring containing a field then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0.
Cortiñas, Guillermo +3 more
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Polish topologies on endomorphism monoids of relational structures
Advances in Mathematics, 2023 In this paper we present general techniques for characterising minimal and maximal semigroup topologies on the endomorphism monoid $\operatorname{End}(\mathbb{A})$ of a countable relational structure $\mathbb{A}$. As applications, we show that the endomorphism monoids of several well-known relational structures, including the random graph, the random ...
Elliott, L. +4 more
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On the S-Invariance Property for S-Flows
Abstract and Applied Analysis, 2010 We define an equivalence relation on a topological space which is acted by topological monoid S as a transformation semigroup. Then, we give some results about the S-invariant classes for this relation.
Amin Saif, Adem Kılıçman
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