Stenosis in dimension groups and AF C*-algebras.
Strictly order primal algebras.
Strong amalgamations of lattice ordered groups and modules.
Strong compact elements in multiplicative lattices
Strong ideals and horizontal ideals in pseudo-BCH-algebras
In this paper we define strong ideals and horizontal ideals in pseudo-BCH-algebras and investigate the properties and characterizations of them.
Strong implicative hyper -ideals.
Strong projectability of lattice ordered groups
In this paper we prove that the lateral completion of a projectable lattice ordered group is strongly projectable. Further, we deal with some properties of Specker lattice ordered groups which are related to lateral completeness and strong projectability.
Strongly compatible total orders on free monoids.
Strongly projectable lattice ordered groups
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 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 spaces of lattice ordered groups
...-Strukturen.
Su alcuni invarianti numerici associati a sistemi di equazioni lineari in un modulo
Subadditive functions on modules and subgroups of abelian groups.
Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group
The extension of a lattice ordered group by a generalized Boolean algebra will be denoted by . In this paper we apply subdirect decompositions of for dealing with a question proposed by Conrad and Darnel. Further, in the case when is linearly ordered we investigate (i) the completely subdirect decompositions of and those of , and (ii) the values of elements of and the radical .
Subdirect product decompositions of -algebras