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$𝒲$ -completeness and fixpoint properties

Marcel Erné (1988)

Archivum Mathematicum

$0$ -ideals in $0$ -distributive posets

Khalid A. Mokbel (2016)

Mathematica Bohemica

The concept of a $0$ -ideal in $0$ -distributive posets is introduced. Several properties of $0$ -ideals in $0$ -distributive posets are established. Further, the interrelationships between $0$ -ideals and $α$ -ideals in $0$ -distributive posets are investigated. Moreover, a characterization of prime ideals to be $0$ -ideals in $0$ -distributive posets is obtained in terms of non-dense ideals. It is shown that every $0$ -ideal of a $0$ -distributive meet semilattice is semiprime. Several counterexamples are discussed.

0-distributive posets

Khalid A. Mokbel, Vilas S. Kharat (2013)

Mathematica Bohemica

Several characterizations of 0-distributive posets are obtained by using the prime ideals as well as the semiprime ideals. It is also proved that if every proper $l$ -filter of a poset is contained in a proper semiprime filter, then it is $0$ -distributive. Further, the concept of a semiatom in 0-distributive posets is introduced and characterized in terms of dual atoms and also in terms of maximal annihilator. Moreover, semiatomic 0-distributive posets are defined and characterized. It is shown that...

...-Strukturen.

Niels Schwartz (1978)

Mathematische Zeitschrift

$α$ -ideals in $0$ -distributive posets

Khalid A. Mokbel (2015)

Mathematica Bohemica

The concept of $α$ -ideals in posets is introduced. Several properties of $α$ -ideals in $0$ -distributive posets are studied. Characterization of prime ideals to be $α$ -ideals in $0$ -distributive posets is obtained in terms of minimality of ideals. Further, it is proved that if a prime ideal $I$ of a $0$ -distributive poset is non-dense, then $I$ is an $α$ -ideal. Moreover, it is shown that the set of all $α$ -ideals $α Id (P)$ of a poset $P$ with $0$ forms a complete lattice. A result analogous to separation theorem for finite $0$ -distributive...

$λ$ -lattices

Václav Snášel (1997)

Mathematica Bohemica

In this paper, we generalize the notion of supremum and infimum in a poset.

Currently displaying 1 – 20 of 36

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Displaying 1 – 20 of 36

$𝒲$ -completeness and fixpoint properties

$0$ -ideals in $0$ -distributive posets

0-distributive posets

...-Strukturen.

$α$ -ideals in $0$ -distributive posets

$λ$ -lattices

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Гомоморфизмы унарных алгебрь

Гомоморфное отображение между пространствами функций

Замечания по теории частично упорядоченных групп и полугрупп

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Независимость групп автоморфизмов и решеток идеалов полугрупп

О единственности линейных продолжений частичных порядков

О моноидах изотонных отображений

О некоторых классах упорядоченных групп

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О точных представлениях частично упорядоченных множеств конечного типа

О ширине категории моноунарных алгебр

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Currently displaying 1 – 20 of 36