On the E-unitary covers for a Bruck semigroup.
On the existence of special homogeneous monoids.
On the exponent semigroup of an E-m semigroup.
On the finite basis property for semigroup varieties.
On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero
Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.
On the fixpoints of monogenic functions in free monoids.
On the Frattini Ideal in a Certain Class of Semigroups
On the Frattini ideal in compact semigroups
On the Frobenius number of a modular Diophantine inequality
We present an algorithm for computing the greatest integer that is not a solution of the modular Diophantine inequality , with complexity similar to the complexity of the Euclid algorithm for computing the greatest common divisor of two integers.
On the Frobenius number of Fibonacci numerical semigroups.
On the Frobenius number of some Lucas numerical semigroups.
On the Frobenius problem for .
On the fundamental double four-spiral semigroup.
On the graph labellings arising from phylogenetics
We study semigroups of labellings associated to a graph. These generalise the Jukes-Cantor model and phylogenetic toric varieties defined in [Buczynska W., Phylogenetic toric varieties on graphs, J. Algebraic Combin., 2012, 35(3), 421–460]. Our main theorem bounds the degree of the generators of the semigroup by g + 1 when the graph has first Betti number g. Also, we provide a series of examples where the bound is sharp.
On the greatest congruence relation contained in an equivalence relation and its applications to the algebraic theory of machines
On the ideals of the semigroup of the 1-sphere
On the idempotent ranks of certain semigroups of order-preserving transformations.
On the invariance of small overlap hypotheses.
On the inverse braid and reflection monoids of type .
On the irreducibility of pure difference binomials.