The theory of quasi-divisors on cartesian products

Aleka Kalapodi; Angeliki Kontolatou

Displaying similar documents to “The theory of quasi-divisors on cartesian products”

Construction of $p o$ -groups with quasi-divisors theory

Jiří Močkoř (2000)

Czechoslovak Mathematical Journal

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A method is presented making it possible to construct $p o$ -groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups $H (Δ, ℤ)$ , where $Δ$ are finitely atomic root systems. Some examples of these constructions are presented.

Divisor class groups of ordered subgroups

Jiří Močkoř, Angeliki Kontolatou (1993)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Compatible elements in partly ordered groups.

Močkoř, Jiří, Kontolatou, Angeliki (2005)

International Journal of Mathematics and Mathematical Sciences

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Ordered groups with greatest common divisors theory.

Močkoř, Jiří (2000)

International Journal of Mathematics and Mathematical Sciences

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Quasiprojective and quasi-injective finite valuated groups

C. Vinsonhaler, W. Wickless (1981)

Colloquium Mathematicae

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Approximation Theorems for ordered groups with quasi-divisors Theory

A. Kontolatou (1996)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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The Recent Generalizations of Colored Symmetry

Lungu Alexandru (2000)

Visual Mathematics

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Topological characterizations of ordered groups with quasi-divisor theory

Jiří Močkoř (2002)

Czechoslovak Mathematical Journal

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For an order embedding $G \overset{h}{\to} \to Γ$ of a partly ordered group $G$ into an $l$ -group $Γ$ a topology $𝒯_{\hat{W}}$ is introduced on $Γ$ which is defined by a family of valuations $W$ on $G$ . Some density properties of sets $h (G)$ , $h (X_{t})$ and $(h (X_{t}) ∖ {h (g_{1}), \dots, h (g_{n})})$ ( $X_{t}$ being $t$ -ideals in $G$ ) in the topological space $(Γ, 𝒯_{\hat{W}})$ are then investigated, each of them being equivalent to the statement that $h$ is a strong theory of quasi-divisors.