Action accessibility for categories of interest
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 7-21
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We prove that every category of interest (in the sense of G. Orzech) is action accessible in the sense of Bourn and Janelidze. This fact allows us to give an intrinsic description of centers and centralizers in this class of categories. We give also some new examples of categories of interest, mainly arising from Loday's papers.
Classification :
18G50, 18D35, 03C05, 08C05
Keywords: protomodular categories, action accessible categories, categories of interest, centralizers
Keywords: protomodular categories, action accessible categories, categories of interest, centralizers
Andrea Montoli. Action accessibility for categories of interest. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 7-21. http://geodesic.mathdoc.fr/item/TAC_2010_23_a0/
@article{TAC_2010_23_a0,
author = {Andrea Montoli},
title = {Action accessibility for categories of interest},
journal = {Theory and applications of categories},
pages = {7--21},
year = {2010},
volume = {23},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2010_23_a0/}
}