Sous-demi-groupes convexes des demi-groupes totalement ordonnés. Erratum et compléments
Sous-demi-groupes convexes des demi-groupes totalement ordonnés
Spectra of autometrized lattice algebras
Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.
Spectral topologies of dually residuated lattice-ordered monoids
Dually residuated lattice-ordered monoids (-monoids for short) generalize lattice-ordered groups and include for instance also -algebras (pseudo -algebras), a non-commutative extension of -algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.
Standard monads
Strong compact elements in multiplicative lattices
Strongly compatible total orders on free monoids.
Structure and embedding theorems for unique normal decomposition lattices
Structure of partially ordered cyclic semigroups
This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.
Subtraction semigroups
A subtraction semigroup is a semigroup with a further operation "" added, called subtraction and satisfying certain axioms. The paper concerns a problem by B. M. Schein concerning the structure of multiplication in a subtraction semigroup.
Sur les ...-bandes finies et les demigroupes totalement ordonnés ...-simples.
Sur les bandes réticulées.
Sur les demi-groupes réticulés et les O-demi-groupes.
Sur les demi-groupes totalement ordonnés -simples
Sur les groupoïdes-treillis
Sur les o-bandes.