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The lattice of regular subsemigroups of a regular semigroup

Vestnik St. Petersburg University: Mathematics, 2007
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A Characterization of *-Congruences on a Regular *-Semigroup

Semigroup Forum, 1998
A semigroup \(S\) with a unary operation \(*\colon S\to S\) satisfying the identities \((x^*)^*=x\) and \((xy)^*=y^*x^*\) is called a *-semigroup. A *-semigroup \(S\) is a regular *-semigroup if also the identity \(x=xx^*x\) holds on \(S\). The symbol \(\Lambda^*(S)\) denotes the lattice of all *-congruences on a regular *-semigroup \(S\).
Chae, Younki   +2 more
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REGULAR SEMIGROUPS WITH INVERSE TRANSVERSALS

The Quarterly Journal of Mathematics, 1983
An inverse subsemigroup T of a regular semigroup S is said to be an inverse transversal of S if T contains precisely one inverse of each element of S. Constructions based on the regular semigroup consisting of all regular elements of a Rees matrix semigroup over an inverse semigroup are used to establish the paper's main results.
McAlister, D. B., McFadden, R. B.
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Stability of C-regularized Semigroups

Acta Mathematica Sinica, English Series, 2004
Let \(X\) be a Banach space, let \(T=\{T(t)\}_{t \geq 0}\) be a bounded \(C\)-regularized semigroup generated by \(A\), where \(C\) is a bounded injective linear operator on \(X\) such that \(R(C)\) is dense in \(X\). Denoting by \(\sigma_u(A, Cx)\) the set of all points \(\lambda \in i {\mathbb R}\) such that \((\lambda - A)^{-1}Cx\) cannot be ...
Li, Miao, Zheng, Quan
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Orders in completely regular semigroups

Mathematika, 2001
A classic theorem of semigroup theory is that a semigroup \(S\) has a group of quotients if and only if it is reversible and cancellative. From the perspective of the group, it contains \(S\) as an ``order''. Generalizing from both this situation and from ring theory, a semigroup \(S\) is an order in another semigroup \(Q\) if every element in \(Q ...
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Semilattices of simple and regular n-ary semigroups

Semigroup Forum, 2023
Jukkrit Daengsaen   +1 more
exaly  

On Right Weakly Regular Semigroups of Generalized Bipolar Fuzzy Subsemigroups

Missouri Journal of Mathematical Sciences, 2021
Pannawit Khamrot
exaly  

℘-Regular semigroups

Semigroup Forum, 1989
M. Yamada, M. K. Sen
openaire   +1 more source

Left (Right) Regular Elements of Some Transformation Semigroups

Mathematics, 2023
Ekkachai Laysirikul   +1 more
exaly  

On Left Regular Ordered Semigroups

Southeast Asian Bulletin of Mathematics, 2002
Niovi Kehayopulu, Michael Tsingelis
exaly  

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