Strongly cancellative and recovering sets on lattices.
Strongly compatible total orders on free monoids.
Strongly fixed ideals in and compact frames
Let be the ring of real-valued continuous functions on a frame . In this paper, strongly fixed ideals and characterization of maximal ideals of which is used with strongly fixed are introduced. In the case of weakly spatial frames this characterization is equivalent to the compactness of frames. Besides, the relation of the two concepts, fixed and strongly fixed ideals of , is studied particularly in the case of weakly spatial frames. The concept of weakly spatiality is actually weaker than...
Strongly projectable lattice ordered groups
Strongly retractive Boolean algebras
Structural aspects of truncated archimedean vector lattices: good sequences, simple elements
The truncation operation facilitates the articulation and analysis of several aspects of the structure of archimedean vector lattices; we investigate two such aspects in this article. We refer to archimedean vector lattices equipped with a truncation as truncs. In the first part of the article we review the basic definitions, state the (pointed) Yosida representation theorem for truncs, and then prove a representation theorem which subsumes and extends the (pointfree) Madden representation theorem....
Structure and embedding theorems for unique normal decomposition lattices
Structure and order structure in Abelian groups
Structure de l'ensemble des fermetures d'un treillis complet
Structure des demi-groupes dont le treillis des sous-demi-groupes est semi-modulaire
Structure des topologies d'un topos
Structure of ordered semirings.
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.
Structure of the set of compatible proximities when the set is finite
Structure spaces of lattice ordered groups
Structure spaces of lattices
Structured lattices and ground categories of -sets.
Structures floues et algèbres de Post
Studies of some items of the lattice theory in relation to the Hilbert-Hermite space
Sturdy frames of type (2,2) algebras and their applications to semirings
We introduce sturdy frames of type (2,2) algebras, which are a common generalization of sturdy semilattices of semigroups and of distributive lattices of rings in the theory of semirings. By using sturdy frames, we are able to characterize some semirings. In particular, some results on semirings recently obtained by Bandelt, Petrich and Ghosh can be extended and generalized.