Natural congruences and isomorphism theorems for directed complete partially ordered sets
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DOI: 10.1007/s00012-017-0424-5
Abstract: Directed complete partially ordered sets (dcpos, for short) play an important role in domain theory. The aim of this paper is to characterise natural congruences of dcpos. We also show that the kernels of dcpo… read more here.
Keywords: isomorphism theorems; ordered sets; partially ordered; natural congruences ... See more keywords
Completions of Pseudo Ordered Sets
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DOI: 10.1007/s11083-021-09565-4
Abstract: A pseudo ordered set (X,≤) is a set X with a binary relation ≤ that is reflexive and antisymmetric. We associate to a pseudo ordered set X, a partially ordered set Γ(X) called the covering… read more here.
Keywords: completions pseudo; ordered sets; completion; pseudo ordered ... See more keywords
Directed complete poset congruences
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DOI: 10.1016/j.jpaa.2019.01.003
Abstract: Abstract The study of algebraic properties of ordered structures has shown that their behavior in many cases is different from algebraic structures . For example, the analogues of the fundamental mapping theorem for sets which… read more here.
Keywords: partially ordered; ordered sets; directed complete; dcpo congruences ... See more keywords
Partially ordered sets of non-trivial nilpotent π-subgroups II
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DOI: 10.1016/j.topol.2017.09.011
Abstract: Abstract Let G be a finite group, and π a set of prime numbers dividing the order of G. Denote by N π ( G ) and L π ( G ) respectively the totality… read more here.
Keywords: trivial nilpotent; non trivial; ordered sets; partially ordered ... See more keywords
Some further results on the cancellation law for partially ordered sets and T0-spaces
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DOI: 10.1016/j.topol.2021.107765
Abstract: Abstract In this paper, we continue the study of the cancellation problem for the cartesian product of partially ordered sets (posets for short) and of T 0 -spaces. We first give a class of partially… read more here.
Keywords: cancellation law; ordered sets; partially ordered; results cancellation ... See more keywords
The Worst Balanced Partially Ordered Sets—Ladders with Broken Rungs
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DOI: 10.1080/10586458.2017.1368050
Abstract: ABSTRACT We present results of a computer search for partially ordered sets (posets) with fairly small value of the balance constant. The motivation behind this work was to search for a poset with the balance… read more here.
Keywords: worst balanced; ordered sets; partially ordered; broken rungs ... See more keywords