EuDML | Browse

Page 1

Displaying 1 – 13 of 13

Weak chain-completeness and fixed point property for pseudo-ordered sets

S. Parameshwara Bhatta (2005)

Czechoslovak Mathematical Journal

In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.

Weak homomorphisms in implication algebra

Ivan Chajda (1990)

Časopis pro pěstování matematiky

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...