A note on homomorphisms of a free monoid.
A note on intersections of free submonoids of a free monoid.
A note on ....-permutable semigroups.
A note on pseudo-symmetric numerical semigroups.
A note on square extensions of bands.
A note on the Burnside problem for semigroups.
A Note on two Indices of Semigroup Elements
A problem on semigroups satisfying permutation identities.
A remark on a paper of H. Höft
A remark on the representation of trace monoids.
A synchronization property of pure subsemigroups.
About presentations of braid groups and their generalizations
In the paper we give a survey of rather new notions and results which generalize classical ones in the theory of braids. Among such notions are various inverse monoids of partial braids. We also observe presentations different from standard Artin presentation for generalizations of braids. Namely, we consider presentations with small number of generators, Sergiescu graph-presentations and Birman-Ko-Lee presentation. The work of V.~V.~Chaynikov on the word and conjugacy problems for the singular...
Abundant semigroups whose idempotents satisfy permutation identities.
Adjan's theorem and conjugacy in semigroups.
All completely regular elements in
In Universal Algebra, identities are used to classify algebras into collections, called varieties and hyperidentities are use to classify varieties into collections, called hypervarities. The concept of a hypersubstitution is a tool to study hyperidentities and hypervarieties. Generalized hypersubstitutions and strong identities generalize the concepts of a hypersubstitution and of a hyperidentity, respectively. The set of all generalized hypersubstitutions forms a monoid. In...
All subvarieties of a certain variety of semigroups.
Almost set-theoretic complete intersections in characteristic zero.
We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations.
Amalgams of free inverse semigroups.
An associative operator on the lattice of varieties of inverse semigroups.
An example of two non-isomorphic finite subdirectly irreducible bands generating the same variety of bands.