In the context of categories equipped with a structure of nullhomotopies, we introduce the notion of homotopy torsion theory. As special cases, we recover pretorsion theories as well as torsion theories in multi-pointed categories and in pre-pointed categories. Using the structure of nullhomotopies induced by the canonical string of adjunctions between a category A
Homotopy torsion theories / S. Mantovani, M. Messora, E.M. Vitale. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 228:12(2024 Dec), pp. 107742.1-107742.39. [10.1016/j.jpaa.2024.107742]
Homotopy torsion theories
S. MantovaniPrimo
;M. MessoraSecondo
;
2024
Abstract
In the context of categories equipped with a structure of nullhomotopies, we introduce the notion of homotopy torsion theory. As special cases, we recover pretorsion theories as well as torsion theories in multi-pointed categories and in pre-pointed categories. Using the structure of nullhomotopies induced by the canonical string of adjunctions between a category A
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