Geodesic
The stable category of preordered groups
Theory and applications of categories, Tome 41 (2024), pp. 1399-1415

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In this article, we present the stable category of preordered groups associated with some Z-pretorsion theory. We first define such a category as well as the related functor, and then study their properties. By doing so, we provide a description of both Z-kernels and Z-cokernels in the category of preordered groups. Finally, we prove the universal property of the stable category.

Publié le :
Classification : 06F15, 18E40, 18A40
Keywords: Preordered groups, torsion theory, pretorsion theory, stable category, torsion theory functor, Grothendieck group, Z-kernel, Z-cokernel 
@article{TAC_2024_41_a38,
     author = {Aline Michel},
     title = {The stable category of preordered groups},
     journal = {Theory and applications of categories},
     pages = {1399--1415},
     publisher = {mathdoc},
     volume = {41},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a38/}
}
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Aline Michel. The stable category of preordered groups. Theory and applications of categories, Tome 41 (2024), pp. 1399-1415. http://geodesic.mathdoc.fr/item/TAC_2024_41_a38/