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Contribución al estudio de los anillos reticulados y f-anillos.

Joan Trías Pairó (1979)

Stochastica

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...

Convergence l -groups with zero radical

Ján Jakubík (1997)

Mathematica Bohemica

In this paper we investigate abelian convergence -groups with zero radical such that each bounded sequence has a convergent subsequence.

Convergence with a regulator in directed groups

Štefan Černák (2004)

Discussiones Mathematicae - General Algebra and Applications

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.

Convex lines in median groups

Milan Kolibiar (1992)

Archivum Mathematicum

There is proved that a convex maximal line in a median group G , containing 0, is a direct factor of G .

Convexities of lattice ordered groups

Ján Jakubík (1996)

Mathematica Bohemica

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 d -groups.

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