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Rotations of λ -lattices

Jiří Karásek (1996)

Mathematica Bohemica

In [2], J. Klimes studied rotations of lattices. The aim of the paper is to research rotations of the so-called l -lattices introduced in [3] by V. Snasel.

Selfduality of the system of convex subsets of a partially ordered set

Miron Zelina (1993)

Commentationes Mathematicae Universitatis Carolinae

For a partially ordered set P let us denote by C o P the system of all convex subsets of P . It is found the necessary and sufficient condition (concerning P ) under which C o P (as a partially ordered set) is selfdual.

Semi-ordered groups

Jiří Rachůnek (1979)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Some cardinal characteristics of ordered sets

Vítězslav Novák (1998)

Czechoslovak Mathematical Journal

For ordered (= partially ordered) sets we introduce certain cardinal characteristics of them (some of those are known). We show that these characteristics—with one exception—coincide.

Some characterizations of completeness for trellises in terms of joins of cycles

S. Parameshwara Bhatta, H. Shashirekha (2004)

Czechoslovak Mathematical Journal

This paper gives some new characterizations of completeness for trellises by introducing the notion of a cycle-complete trellis. One of our results yields, in particular, a characterization of completeness for trellises of finite length due to K. Gladstien (see K. Gladstien: Characterization of completeness for trellises of finite length, Algebra Universalis 3 (1973), 341–344).

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