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Displaying 41 – 57 of 57

On the automorphism group of the countable dense circular order

J. K. Truss (2009)

Fundamenta Mathematicae

Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.

On the cancellation law for disconnected partially ordered sets

Ján Jakubík, Judita Lihová (2004)

Mathematica Slovaca

On The Essential Flats Of Geometric Lattices

Dragan M. Acketa (1979)

Publications de l'Institut Mathématique

On the essential of geometric lattices.

D.M. Acketa (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups

Shrawani Mitkari, Vilas Kharat (2024)

Mathematica Bohemica

In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups $G$ are studied in respect of formation of lattices $L (G)$ and sublattices of $L (G)$ . It is proved that the collections of all pronormal subgroups of $A_{n}$ and S $_{n}$ do not form sublattices of respective $L (A_{n})$ and $L (S_{n})$ , whereas the collection of all pronormal subgroups $LPrN ({Dic}_{n})$ of a dicyclic group is a sublattice of $L ({Dic}_{n})$ . Furthermore, it is shown that $L ({Dic}_{n})$ and $LPrN ({Dic}_{n}$ ) are lower semimodular lattices.

On the lattices of kernels of isotonic mappings. II

Teo Sturm (1977)

Czechoslovak Mathematical Journal

On the number of finite algebraic structures

Erhard Aichinger, Peter Mayr, R. McKenzie (2014)

Journal of the European Mathematical Society

We prove that every clone of operations on a finite set $A$ , if it contains a Malcev operation, is finitely related – i.e., identical with the clone of all operations respecting $R$ for some finitary relation $R$ over $A$ . It follows that for a fixed finite set $A$ , the set of all such Malcev clones is countable. This completes the solution of a problem that was first formulated in 1980, or earlier: how many Malcev clones can finite sets support? More generally, we prove that every finite algebra with few...

On the representation of orthocomplemented posets

František Katrnoška (1982)

Commentationes Mathematicae Universitatis Carolinae

On the system of all maximal chains (antichains) of a graph.

D. Kurepa (1976)

Publications de l'Institut Mathématique [Elektronische Ressource]

Operations on cyclically ordered sets

Vítězslav Novák (1984)

Archivum Mathematicum

Order Preserving or Increasing Mappings Freedom or Incomparability Preserving Mappings

Đuro Kurepa (1989)

Publications de l'Institut Mathématique

Ordered sets which support inverse semigroups : Three examples.

B.M. Schein, L. Li (1984)

Semigroup forum

Ordered structures and projections.

Yazi, M. (2008)

International Journal of Mathematics and Mathematical Sciences

Ordering the set of antichains of an ordered set.

Paulo Ribenboim (1995)

Collectanea Mathematica

Orderings of monomial ideals

Matthias Aschenbrenner, Wai Yan Pong (2004)

Fundamenta Mathematicae

We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set. In particular, we give an interpretation of the height function in terms of the Hilbert-Samuel polynomial, and we compute bounds on the maximal order type.

Ordinal Bounds for Well Ordered Extensions of the Coordinatewise Partial Ordering

Hilbert Levitz (1976)

Commentarii mathematici Helvetici

Ordres "C.A.C."

B. Leclerc, B. Monjardet (1973)

Fundamenta Mathematicae

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