Continuous monoids and yields of infinite trees
In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex -algebra satisfies Seever’s identity.
This paper deals with ordered rings and f-rings. Some relations between classes of ideals are obtained. The idea of subunity allows us to study the possibility of embedding the ring in a unitary f-ring. The Boolean algebras of idempotents and lattice-isometries in an f-ring are studied. We give geometric characterizations of the l-isometries and obtain, in the projectable case, that the Stone space of the Boolean algebra of l-isometries is homeomorphic to the space of minimal prime ideals with the...
In this paper we investigate abelian convergence -groups with zero radical such that each bounded sequence has a convergent subsequence.
There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.
This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered groups.
There is proved that a convex maximal line in a median group , containing 0, is a direct factor of .
In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of -groups.