A generalization of Green's relations in semigroups.
A generalization of right simple semigroups
A generalization of the bicyclic semigroup.
A generalization of the Bruck-Reilly construction.
A generalization of the prime radical of an ideal.
A generalization of the Rees Theorem to a class o£ regular semigroups.
A graphical representation for the free product of E-unitary inverse semigroups.
A Hahn-Banach theorem for separation of semigroups and its application.
A half-commutative IP Roth theorem.
-idéaux, -systèmes
A language theoretic interpretation of the Schützenberger representations with applications to certain varieties of languages.
A left compatible coequality relation on a semigroup with apartness.
A matrix characterization of the maximal groups in
A maximal chain of principal ideals in the semigroup of binary relations on a finite set.
A multiplication of -varieties of orthodox semigroups
We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties
A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
A new algebraic invariant for weak equivalence of sofic subshifts
It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. The main tool are ζ-semigroups, considered as recognition structures for sofic subshifts. A new algebraic invariant is obtained for weak equivalence of sofic subshifts, by determining which classes of sofic subshifts naturally defined by pseudovarieties of finite semigroups are closed under weak equivalence. Among such classes are the classes of almost finite type subshifts...
A new approach in the theory of orthodox semigroups.
A new approach to orders in simple rings with minimal one-sided ideals.
A new construction for free inverse semigroups.