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Abstract: In this paper, the notion of bipolar-valued fuzzy LA-subsemigroups is introduced and also some properties of bipolar-valued fuzzy left (right, bi-, interior) ideals of LA-semigroups has been...
Abstract: In this article we study left I-orders in the bicyclic monoid $\mathcal{B}$. We give necessary and sufficient conditions for a subsemigroup of $\mathcal{B}$ to be a left I-oreder in $\mathca...
Abstract: In this paper we discuss various aspects of the problem of determining the minimal dimension of an injective linear representation of a finite semigroup over a field. We outline some general...
In this paper, we have introduced the notion of (1, 2)-ideal in an LA-semigroup and shown that (1, 2)-ideal and two-sided ideal coincide in an intra-regular LA-semigroup.
Exponential convergence rates in the L2-tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known r...
We introduce a new class of semigroups arising from a restricted class of asynchronous automata. We call these semigroups "expanding automaton semigroups." We show that the class of synchronous autom...
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalitie...
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application,we show that the rank 1 component of the free idempotent generated semigroup...
A theorem of Siebert asserts that if μn(t) are semigroups of probability measures on a Lie group G, and Pn are the corresponding generating functionals,then μn(t).
A semigroup variety is said to be a Rees-Sushkevich variety if it is contained in a periodic variety generated by 0-simple semigroups. S. I. Kublanovsky has proven that a variety V is a ReesSushkevic...
We show that many important varieties and sets of varieties of semigroups may be defined by relatively simple and transparent first-order formulas in the lattice of all semigroup varieties.
A non-time-homogeneous generalized Mehler semigroup on a real sep-arable Hilbert space H is defined through ps,tf(x) = Z H f(U(t, s)x + y) μt,s(dy), t ≥ s, x ∈ H,for every bounded measurable function ...
The Cauchy problem for second order linear differential equation u′′(t) + Du′(t) + Au(t) = 0 in Hilbert space H with a sectorial operator A and an accretive operator D is studied. Sufficient conditio...
We study in fairly general measure spaces $(X,\mu)$ the (non-linear) potential theory of $L^p$ sub-Markovian semigroups which are given by kernels having a density with respect to the underlying measu...
An ordered pair $(e,f)$ of idempotents of a regular semigroup is called a {\it skew pair} if $ef$ is not idempotent whereas $fe$ is idempotent. We have shown previously that there are four distinct ty...

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