EUDML

The search session has expired. Please query the service again.

Currently displaying 1 – 10 of 10

Order by Relevance | Title | Year of publication

Measure and measurable functions of $S^{n}$

Angeliki Kontolatou — 1994

Acta Mathematica et Informatica Universitatis Ostraviensis

The quasi-real extension of the real numbers

Angeliki Kontolatou — 1993

Acta Mathematica et Informatica Universitatis Ostraviensis

The Cauchy extension of an ordered abelian group realized by $r$ -valuations

Angeliki Kontolatou — 2002

Acta Mathematica et Informatica Universitatis Ostraviensis

Some notes on the composite $G$ -valuations

Angeliki Kontolatou — 1994

Archivum Mathematicum

In analogy with the notion of the composite semi-valuations, we define the composite $G$ -valuation $v$ from two other $G$ -valuations $w$ and $u$ . We consider a lexicographically exact sequence $(a, β) : A_{u} \to B_{v} \to C_{w}$ and the composite $G$ -valuation $v$ of a field $K$ with value group $B_{v}$ . If the assigned to $v$ set $R_{v} = {x \in K / v (x) \geq 0$ or $v (x)$ non comparable to $0}$ is a local ring, then a $G$ -valuation $w$ of $K$ into $C_{w}$ is defined with its assigned set $R_{w}$ a local ring, as well as another $G$ -valuation $u$ of a residue field is defined with $G$ -value group $A_{u}$ .

Some remarks on Lorenzen $r$ -group of partly ordered groups

Jiří Močkoř; Angeliki Kontolatou — 1996

Czechoslovak Mathematical Journal

Divisor class groups of ordered subgroups

Jiří Močkoř; Angeliki Kontolatou — 1993

Acta Mathematica et Informatica Universitatis Ostraviensis

The theory of quasi-divisors on cartesian products

Aleka Kalapodi; Angeliki Kontolatou — 2000

Acta Mathematica et Informatica Universitatis Ostraviensis

Some properties of Lorenzen ideal systems

Aleka Kalapodi; Angeliki Kontolatou; Jiří Močkoř — 2000

Archivum Mathematicum

Let $G$ be a partially ordered abelian group ( $p o$ -group). The construction of the Lorenzen ideal $r_{a}$ -system in $G$ is investigated and the functorial properties of this construction with respect to the semigroup $(R (G), \oplus, \leq)$ of all $r$ -ideal systems defined on $G$ are derived, where for $r, s \in R (G)$ and a lower bounded subset $X \subseteq G$ , $X_{r \oplus s} = X_{r} \cap X_{s}$ . It is proved that Lorenzen construction is the natural transformation between two functors from the category of $p o$ -groups with special morphisms into the category of abelian ordered semigroups.