Results 91 to 100 of about 69,892 (204)
Regular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability, and supernilpotency of regular semigroups, we obtain that an analogous statement is true only in orthodox semigroups.
Jelena Radović, Nebojša Mudrinski
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Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.
Beth Borel Reynolds, Victor Schneider
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The cancellation law is a necessary condition for a semigroup to be embedded in a group. In general, this condition is not sufficient; necessary and sufficient conditions are rather complicated (see [1]). It is, therefore, of interest to find large classes of semigroups for which the cancellation law is sufficient to ensure embeddability in a group.
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Recurrency on the Space of Hilbert-Schmidt Operators
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
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Soft Intersection Bi-interior Ideals of Semigroups
Generalizing the ideals of an algebraic structure has shown to be both beneficial and interesting for mathematicians. In this context, the idea of the bi-interior ideal was introduced as a generalization of the bi-ideal and interior ideal of a semigroup.
Aslihan Sezgin, Aleyna İlgin
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It is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert space converges to its minimum along the trajectories of the semigroup.
Renu Choudhary
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For a positive integer \(n\), let \(\Sigma_n\) denote the alphabet consisting of letters \(x_0,x_1,\dots,x_{n-1}\). A triple \((\alpha,\beta,\gamma)\) of words over \(\Sigma_n\) is allowable if \(\alpha\) is a prefix of \(\beta\) and \(\gamma\) is a suffix of \(\beta\). Let \((\alpha,\beta,\gamma)\) and \((\alpha',\beta',\gamma')\) be allowable triples
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Vector-valued means and weakly almost periodic functions
A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means.
Chuanyi Zhang
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The Ellis semigroup of a nonautonomous discrete dynamical system
We introduce the {\it Ellis semigroup} of a nonautonomous discrete dynamical system $(X,f_{1,\infty})$ when $X$ is a metric compact space. The underlying set of this semigroup is the pointwise closure of $\{f\sp{n}_1 \, |\, n\in \mathbb{N}\}$ in the ...
García-Ferreira, S., Sanchis, M.
core
Arf characters of an algebroid curve
Two algebroid branches are said to be equivalent if they have the same multiplicity sequence. It is known that two algebroid branches $R$ and $T$ are equivalent if and only if their Arf closures, $R'$ and $T'$ have the same value semigroup, which is an ...
Barucci, Valentina +2 more
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