Results 101 to 110 of about 612 (145)

Torsion theories and Galois theories in preordered groups

, 2023
In 2002 G. Janelidze, L. Márki and W. Tholen introduced semi-abelian categories. These categories provide an axiomatic context where it is possible to deal with several concepts and properties that groups, rings and Lie algebras have in common.
Michel, Aline
core  

The homology digraph of a preordered space

This paper studies a notion of directed homology for preordered spaces, called the homology digraph. We show that the homology digraph is a directed homotopy invariant and establish variants of the main results of ordinary singular homology theory for ...
Faustino, Catarina Justino, Kahl, Thomas
core   +1 more source

Order-clustered fixed point theorems on chain-complete preordered sets and their applications to extended and generalized Nash equilibria

, 2013
In this paper, we introduce the concept of order-clustered fixed point of set-valued mappings on preordered sets and give several generalizations of the extension of the Abian-Brown fixed point theorem provided in (Mas-Colell et al.
Li, Jinlu
core  

Sampling-Based Motion Planning with Preordered Objectives

Motion planning for cyber-physical systems requires addressing numerous system objectives and constraints, including satisfying physical limitations, ensuring safety, reaching goal areas, or reducing energy consumption.
Halder, Patrick;Althoff, Matthias
core   +1 more source

Classification of finite preordered semigroups via group actions induced by pushforward

We investigate finite semigroups equipped with a preorder relation that is compatible with the semigroup operation. We introduce the concept of a compatible preorder and define the associ-ated structure of a preordered semigroup, which captures the ...
Talotti, Enrico
core  

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Consequences and conjectures in preordered sets

Information Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Itziar García-Honrado, Ana Pradera, Enric Trillas   +2 more
exaly   +2 more sources

Torsion theories and coverings of preordered groups

Algebra Universalis, 2021
In this article we explore a non-abelian torsion theory in the category of preordered groups: the objects of its torsion-free subcategory are the partially ordered groups, whereas the objects of the torsion subcategory are groups (with the total order ...
Marino Gran
exaly   +2 more sources

On the categorical behaviour of preordered groups [PDF]

Journal of Pure and Applied Algebra, 2019
We study the categorical properties of preordered groups. We first give a description of limits and colimits in this category, and study some classical exactness properties. Then we point out a strong analogy between the algebraic behaviour of preordered
Maria Manuel Clementino, Nelson Martins-Ferreira, Andrea Montoli   +2 more
exaly   +3 more sources

Right-preordered groups from a categorical perspective [PDF]

Algebra Universalis
We study the categorical properties of right-preordered groups, giving an explicit description of limits and colimits in this category, and studying some exactness properties.
Maria Manuel Clementino, Andrea Montoli
exaly   +4 more sources

Fully Preorderable Groups

Order, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efe A. Ok, Gil Riella
openaire   +2 more sources