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A Short Course in Semigroup Theory
This chapter is devoted to the general theory of semigroupsSemigroup. In Sects. 6.1–6.3 we study Banach space valued functions, operator valued...
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Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory
AbstractAbstract Volterra integro-differential equations that are operator models of viscoelasticity problems are investigated. The class of...
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Some Elements of Semigroup Theory
Semigroup theory is at the heart of the understanding of many evolution equations that can be put in the form...
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Semigroup Theory and Markov Processes
To construct a discrete parameter homogeneous Markov process with state space (...
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Continuous Orbit Equivalence of Semigroup Actions
We introduce notions of continuous orbit equivalence and its one-sided version for countable left Ore semigroup actions on compact spaces by...
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A Subdirect Decomposition of a Semigroup of All Fuzzy Sets in a Semigroup
AbstractDivisibility of elements in a semigroup and the decomposition of a semigroup into subdirect product of semigroups are two basic concepts in...
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Completely Regular Semigroup Varieties A Comprehensive Study with Modern Insights
This book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today....
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Application of Semigroup Theory to the Study of Volterra Integro-Differential Equations
AbstractWe study abstract Volterra integro-differential equations, which are operator models of problems in the theory of viscoelasticity. The class...
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Shadowable Points of Free Semigroup Actions
The shadowable points of dynamical systems have been well-studied by Morales in his recent paper (2016). This paper aims to generalize the main...
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Discussing Semigroup Bounds with Resolvent Estimates
The purpose of this paper is to revisit the proof of the Gearhardt–Prüss–Huang–Greiner theorem for a semigroup S ( t ), following the general idea of...
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A Semigroup of Paths on a Sequence of Uniformly Elliptic Complexes
AbstractThe work is devoted to solving a problem of L. N. Shevrin and M. V. Sapir (Question 3.81b of the Sverdlovsk Notebook), namely, to...
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Specification and Shadowing Properties of Free Semigroup Actions
In this paper, we introduce shadowing-like properties and specification-like properties of free semigroup actions, such as periodic shadowing...
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Semigroup algebras which are Azumaya algebras
We study Azumaya semigroup algebras and obtain a sufficient and necessary condition for the semigroup algebra of a finite semigroup to be Azumaya. In...
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An algebraic characterization of self-generating chemical reaction networks using semigroup models
The ability of a chemical reaction network to generate itself by catalyzed reactions from constantly present environmental food sources is considered...
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Equations Related to Stochastic Processes: Semigroup Approach and Fourier Transform
The work is devoted to integro-differential equations related to stochastic processes. We study the relationship between differential equations with...
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Metric Mean Dimension of Free Semigroup Actions for Non-Compact Sets
In this paper, we introduce the notions of upper metric mean dimension, u -upper metric mean dimension, l -upper metric mean dimension of free...
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Orderability of the prefix expansion of an ordered inverse semigroup
We answer two orderability questions about the prefix expansion semigroup Pr ( G ) of an inverse semigroup G . We show that if G is a left ordered...
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On the complexity of inverse semigroup conjugacy
We investigate the computational complexity of various decision problems related to conjugacy in finite inverse semigroups. We describe deterministic...
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Abstract Algebraic Construction in Fractional Calculus: Parametrised Families with Semigroup Properties
What structure can be placed on the burgeoning field of fractional calculus with assorted kernel functions? This question has been addressed by the...