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2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a nonvoid set X and a nonvoid family R of binary relations on X is called a relator space. Relator spaces are straightforward generalizations not only of uniform spaces, but also of ordered sets. Therefore, in a relator space we can naturally define not only some topological notions, but also some order theoretic ones. It turns out that these two, apparently quite different, types of notions are closely...

Verbände von Kernen isotoner Abbildungen

Teo Sturm (1972)

Czechoslovak Mathematical Journal

Verbandstheoretische Eigenschaften von Sprachen. II

Josef Dalík (1977)

Archivum Mathematicum

Weak incidence algebra and maximal ring of quotients.

Singh, Surjeet, Al-Thukair, Fawzi (2004)

International Journal of Mathematics and Mathematical Sciences

Weak product decompositions of partially ordered sets

J. Jakubík (1972)

Colloquium Mathematicae

Weighted $w$ -core inverses in rings

Liyun Wu, Huihui Zhu (2023)

Czechoslovak Mathematical Journal

Let $R$ be a unital $*$ -ring. For any $a, s, t, v, w \in R$ we define the weighted $w$ -core inverse and the weighted dual $s$ -core inverse, extending the $w$ -core inverse and the dual $s$ -core inverse, respectively. An element $a \in R$ has a weighted $w$ -core inverse with the weight $v$ if there exists some $x \in R$ such that $a w x v x = x$ , $x v a w a = a$ and ${(a w x)}^{*} = a w x$ . Dually, an element $a \in R$ has a weighted dual $s$ -core inverse with the weight $t$ if there exists some $y \in R$ such that $y t y s a = y$ , $a s a t y = a$ and ${(y s a)}^{*} = y s a$ . Several characterizations of weighted $w$ -core invertible and weighted dual $s$ -core invertible...

When is a poset isomorphic to the poset of connected induced subgraphs of a graph?

Kézdy, André, Seif, Steve (1996)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Which countable ordered sets have a dense linear extension?

Aleksander Rutkowski (1996)

Mathematica Slovaca

Z-mappings and a classification theorem.

G.B. Shi, G.P. Wang (1996)

Semigroup forum

Zu Äquivalenz- und Ordnungsrelationen

Teo Sturm (1973)

Czechoslovak Mathematical Journal

$α$ -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.

Выпуклость в частично упорядоченном множестве

В.П. Солтан (1981)

Matematiceskie issledovanija

Вычисление эффективных операторов на машинах Тьюринга с ограниченным стиранием

Н.В. Белякин, N.V. Beljakin, N.V. Belǎkin, N.V. Beljakin (1963)

Algebra i Logika

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