|
|
|
|
from torsion theories to closure operators and factorization systems
|
|
|
|
|
|
|
|
نویسنده
|
grandis marco ,janelidze george
|
|
منبع
|
categories and general algebraic structures with applications - 2020 - دوره : 12 - شماره : 1 - صفحه:89 -121
|
|
چکیده
|
Torsion theories are here extended to categories equipped with an ideal of ‘null morphisms’, or equivalently a full subcategory of ‘null objects’. instances of this extension include closure operators viewed as generalised torsion theories in a ‘category of pairs’, and factorization systems viewed as torsion theories in a category of morphisms. the first point has essentially been treated in [15].
|
|
کلیدواژه
|
exact sequence ,torsion theory ,closure operator ,factorization system ,ideal of null morphisms
|
|
آدرس
|
dipartimento di matematica, dipartimento di matematica, italy, university of cape town, department of mathematics and applied mathematics, south africa
|
|
پست الکترونیکی
|
george.janelidze@uct.ac.za
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|