EuDML | Browse

Björner (1984) a montré que l’ordre faible de Bruhat défini sur un groupe de Coxeter fini (Bourbaki 1969) est un treillis. Dans le cas du groupe symétrique $S n$ ce résultat (treillis permutoèdre) a été prouvé par Guilbaud-Rosenstiehl (1963). Dans ce papier nous montrons que des propriétés connues des treillis permutoèdres peuvent s’étendre à tous les treillis de Coxeter finis et qu’inversement des propriétés démontrées sur tous les Coxeter finis ont des retombées intéressantes sur les permutoèdres....

The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition

Michael Tsingelis (2003)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The Interval Topology of an $l$ -Group

Ján Jakubík (1962)

Matematicko-fyzikálny časopis

The lattice of solid $σ$ -subgroups of a retractable group

Richard D. Byrd, Justin T. Lloyd, Roberto A. Mena, J. Roger Teller (1978)

Czechoslovak Mathematical Journal

The lower central series of the free partially commutative group.

G. Duchamp, D. Krob (1992)

Semigroup forum

The mixed product decompositions of partially ordered groups

Ján Jakubík (1970)

Czechoslovak Mathematical Journal

The $𝒜 r$ -free products of archimedean $l$ -groups

Dao Rong Tong (1998)

Czechoslovak Mathematical Journal

The objective of this paper is to give two descriptions of the $𝒜 r$ -free products of archimedean $ℓ$ -groups and to establish some properties for the $𝒜 r$ -free products. Specifically, it is proved that $𝒜 r$ -free products satisfy the weak subalgebra property.

The structure of a complete $l$ -group

Dao Rong Tong (1994)

Czechoslovak Mathematical Journal

Topological characterizations of ordered groups with quasi-divisor theory

Jiří Močkoř (2002)

Czechoslovak Mathematical Journal

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.

Torsion classes of Specker lattice ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean algebras.

Currently displaying 61 – 80 of 139

Previous Page 4 Next

Displaying 61 – 80 of 139

Semi-projectable $ℓ$ -groups

Some aspects of radical theory for fully ordered Abelian groups

Some properties of an archimedean $ℓ$ -group

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

Sur les treillis de Coxeter finis

The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition

The Interval Topology of an $l$ -Group

The lattice of solid $σ$ -subgroups of a retractable group

The lower central series of the free partially commutative group.

The mixed product decompositions of partially ordered groups

The $𝒜 r$ -free products of archimedean $l$ -groups

The structure of a complete $l$ -group

Topological characterizations of ordered groups with quasi-divisor theory

Torsion classes of Specker lattice ordered groups

Torsion radicals of lattice ordered groups

T-родно упорядоченные группы

Über additive und isotone Funktionale auf geordneten Gruppen

Über die Intervalltopologie auf einer halbgeordneten Gruppe

Über Fortsetzung additiver und isotoner Funktionale auf geordneten Gruppen

Über subdirekte Summen geordneter Gruppen

Currently displaying 61 – 80 of 139