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Displaying 81 – 100 of 139

Über Summen einfach geordneter Gruppen

František Šik (1958)

Czechoslovak Mathematical Journal

Unique $a$ -closure for some $ℓ$ -groups of rational valued functions

Anthony W. Hager, Chawne M. Kimber, Warren W. McGovern (2005)

Czechoslovak Mathematical Journal

Usually, an abelian $ℓ$ -group, even an archimedean $ℓ$ -group, has a relatively large infinity of distinct $a$ -closures. Here, we find a reasonably large class with unique and perfectly describable $a$ -closure, the class of archimedean $ℓ$ -groups with weak unit which are “ $ℚ$ -convex”. ( $ℚ$ is the group of rationals.) Any $C (X, ℚ)$ is $ℚ$ -convex and its unique $a$ -closure is the Alexandroff algebra of functions on $X$ defined from the clopen sets; this is sometimes $C (X)$ .

Unique covering on radical classes of $ℓ$ -groups

Yue Hui Zhang (1995)

Czechoslovak Mathematical Journal

Valuations and group algebras

Ulrich Albrecht, Günter Törner (1998)

Rendiconti del Seminario Matematico della Università di Padova

Valued Groups.

Mikko Saarimäki, Pekka Sorjonen (1992)

Mathematica Scandinavica

Varieties of half lattice-ordered groups of monotonic permutations of chains

Michèle Giraudet, Jiří Rachůnek (1999)

Czechoslovak Mathematical Journal

Wreath products and universal equivalence.

Morozova, S.V. (2003)

Sibirskij Matematicheskij Zhurnal

$σ$ -interpolation lattice-ordered groups

Michael R. Darnel (2000)

Czechoslovak Mathematical Journal

In [1], Jakubík showed that the class of $σ$ -interpolation lattice-ordered groups forms a radical class, but left open the question of whether the class forms a torsion class. In this paper, we show that this class does indeed form a torsion class.