Topogenous orders and related families of morphisms
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU150329" target="_blank" >RIV/00216305:26210/23:PU150329 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.researchgate.net/publication/369627134_Topogeneous_orders_and_related_families_of_morphisms" target="_blank" >https://www.researchgate.net/publication/369627134_Topogeneous_orders_and_related_families_of_morphisms</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2989/16073606.2023.2247739" target="_blank" >10.2989/16073606.2023.2247739</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Topogenous orders and related families of morphisms
Popis výsledku v původním jazyce
In a category with a proper ()-factorization system, we study the notions of strict, co-strict, initial and final morphisms with respect to a topogenous order. Besides showing that they allow simultaneous study of four classes of morphisms obtained separately with respect to closure, interior and neighbourhood operators, the initial and final morphisms lead us to the study of topogenous orders induced by pointed and co-pointed endofunctors. We also lift the topogenous orders along an -fibration. This permits one to obtain the lifting of interior and neighbourhood operators along an -fibration and includes the lifting of closure operators found in the literature. A number of examples presented at the end of the paper demonstrates our results.
Název v anglickém jazyce
Topogenous orders and related families of morphisms
Popis výsledku anglicky
In a category with a proper ()-factorization system, we study the notions of strict, co-strict, initial and final morphisms with respect to a topogenous order. Besides showing that they allow simultaneous study of four classes of morphisms obtained separately with respect to closure, interior and neighbourhood operators, the initial and final morphisms lead us to the study of topogenous orders induced by pointed and co-pointed endofunctors. We also lift the topogenous orders along an -fibration. This permits one to obtain the lifting of interior and neighbourhood operators along an -fibration and includes the lifting of closure operators found in the literature. A number of examples presented at the end of the paper demonstrates our results.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10101 - Pure mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
O - Projekt operacniho programu
Ostatní
Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Quaestiones Mathematicae
ISSN
1607-3606
e-ISSN
1727-933X
Svazek periodika
46
Číslo periodika v rámci svazku
S1
Stát vydavatele periodika
ZA - Jihoafrická republika
Počet stran výsledku
16
Strana od-do
223-238
Kód UT WoS článku
001098712000007
EID výsledku v databázi Scopus
2-s2.0-85175630274