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Maximal Subgroups of Some Classes of Semigroups of Binary Relations
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Z. Avaliani
Published/Copyright:
March 4, 2010
Abstract
Four classes of complete semigroups of binary relations are considered. It is proved for the semigroups of these classes that maximal subgroups of these semigroups are groups whose order is not greater than two.
Key words and phrases:: Semigroup; maximal semigroup; complete semigroup; binary relation; idempotent element
Received: 2003-07-24
Revised: 2004-01-22
Published Online: 2010-03-04
Published in Print: 2004-June
© Heldermann Verlag
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Keywords for this article
Semigroup;
maximal semigroup;
complete semigroup;
binary relation;
idempotent element
Articles in the same Issue
- Maximal Subgroups of Some Classes of Semigroups of Binary Relations
- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
- The Existence of Solutions for a Semilinear Abstract Dirichlet Problem
- Noncommutative Symplectic Foliation, Bott Connection and Phase Space Reduction
- Karoubi–Villamayor K-Theory, Weakly Stable C*-Categoroids, and KK-Theory
- On Absolutely Nonmeasurable Additive Functions
- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
- On an Initial-Boundary Value Problem for a Fourth Order Composite Equation with Bilaplacian
- An Application of Independent Families of Sets to the Measure Extension Problem
- Oscillation Results for Second Order Self-Adjoint Matrix Differential Systems