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Subjects
06-XX Order, lattices, ordered algebraic structures
06Axx Ordered sets
06A06 Partial order, general

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Displaying 21 – 25 of 25

Primeness and semiprimeness in posets

Vilas S. Kharat, Khalid A. Mokbel (2009)

Mathematica Bohemica

The concept of a semiprime ideal in a poset is introduced. Characterizations of semiprime ideals in a poset $P$ as well as characterizations of a semiprime ideal to be prime in $P$ are obtained in terms of meet-irreducible elements of the lattice of ideals of $P$ and in terms of maximality of ideals. Also, prime ideals in a poset are characterized.

Profile classes and partial well-order for permutations.

Murphy, Maximillian M., Vatter, Vincent R. (2003)

The Electronic Journal of Combinatorics [electronic only]

Properties of monotone mappings in partially ordered sets.

Dacic, Rade M. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

Pseudocomplemented and Stone Posets

Ivan Chajda (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets.

Pseudodimension of relational structures

Vítězslav Novák, Miroslav Novotný (1999)

Czechoslovak Mathematical Journal

Currently displaying 21 – 25 of 25

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