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On the structure of glrac semigroups
Glrac semigroups were introduced by Branco, Gomes and Gould as a way of generalizing the notion of left restriction semigroup to similar structures...
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Congruences on quasi completely regular semirings
We study quasi completely regular semirings through their congruence structures.
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Acts Over Semigroups
We present a review of results obtained mainly in the last two decades in a number of areas of the theory of acts over semigroups. The authors...
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Semilattice sums of algebras and Mal’tsev products of varieties
The Mal’tsev product of two varieties of similar algebras is always a quasivariety. We consider the question of when this quasivariety is a variety....
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Ehresmann–Schein–Nambooripad theorems for classes of biunary semigroups
We obtain an ESN theorem for a very general class of biunary semigroups with idempotent-valued domain and range operations, representing them in...
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Kernel and Trace Relations
With this chapter, we initiate a systematic study of the structure of the lattice...
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Basic Concepts and Notations
In this preliminary chapter, we give a short account of some basic concepts and notations which will be used throughout the book. Section 1.1...
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Laws for generalised interior operations in semigroups
Motivated by interior operators and by analogous generalisations of closure operators to semigroups in general, we define left, right and two-sided...
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Order structure of U-semiabundant semigroups and rings. Part I: Left Lawson’s order
In 1991, Lawson introduced three partial orders on reduced U -semiabundant semigroups. Their definitions are formally similar to recently discovered...
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On lattice isomorphisms of orthodox semigroups
Two semigroups are lattice isomorphic if the lattices of their subsemi-groups are isomorphic, and a class of semigroups is lattice closed if it...
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Bands
The first significant lattice of varieties of semigroups to be completely classified was the lattice of varieties of bands. Since bands are also...
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Pseudovarieties of Ordered Completely Regular Semigroups
This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections...
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Structure theory of regular semigroups
This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to...
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Projectivity in (bounded) commutative integral residuated lattices
In this paper, we study projective algebras in varieties of (bounded) commutative integral residuated lattices. We make use of a well-established...
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Extensions of Theorems of Gaschütz, Žmud′ and Rhodes on Faithful Representations
Gaschütz (1954) proved that a finite group G has a faithful irreducible complex representation if and only if its socle is generated by a single...
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Polák Theorem
One of the principal results of the study of varieties of completely regular semigroups is the construction of an isomorphic copy of the lattice...