Extensions of positive operators and extreme points. II
Extensions of positive operators and extreme points. III
Extensions of positive operators and extreme points. IV
Extremal units in an archimedean Riesz space
Faithfully quadratic rings - a summary of results
This is a summary of some of the main results in the monograph Faithfully Ordered Rings (Mem. Amer. Math. Soc. 2015), presented by the first author at the ALANT conference, Będlewo, Poland, June 8-13, 2014. The notions involved and the results are stated in detail, the techniques employed briefly outlined, but proofs are omitted. We focus on those aspects of the cited monograph concerning (diagonal) quadratic forms over preordered rings.
Fastgeordnete affine lokale Ternärringe und pregeordnete Biternärringe
Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung
Finitely axiomatizable varieties of BCK-algebras.
Finitely valued -modules, an addendum
In an -group with an appropriate operator set it is shown that the -value set can be embedded in the value set . This embedding is an isomorphism if and only if each convex -subgroup is an -subgroup. If has a.c.c. and is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets and and the corresponding -value sets and . If is a unital -ring, then each unital -module over is an -module...
Finite-valued dually residuated lattice-ordered monoids
Finite-valued subgroups of lattice-ordered groups
Foldness of Commutative Ideals in BCK-algebras
This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.
Fortsetzungen extremaler Funktionale.
Frame monomorphisms and a feature of the -group of Baire functions on a topological space
“The kernel functor” from the category of archimedean lattice-ordered groups with distinguished weak unit onto LFrm, of Lindelöf completely regular frames, preserves and reflects monics. In , monics are one-to-one, but not necessarily so in LFrm. An embedding for which is one-to-one is termed kernel-injective, or KI; these are the topic of this paper. The situation is contrasted with kernel-surjective and -preserving (KS and KP). The -objects every embedding of which is KI are characterized;...
Frames in Priestley's duality
Free Archimedean l-Groups.
Free group automorphisms, invariant orderings and topological applications.
Free -groups and free products of -groups
In this paper we have given the construction of free -groups generated by a po-group and the construction of free products in any sub-product class of -groups. We have proved that the -free products satisfy the weak subalgebra property.
Free products in varieties of lattice-ordered groups
Free products of abelian -groups