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- W2037405086 abstract "In this paper we first introduce a non-symmetric notion of centralization between a relation S and an equivalence relation R , which coincides with Smith centralization in the case S is an equivalence relation too. We then prove that in any action accessible category in the sense of Bourn and Janelidze (2009) [11] , the centralizer of an equivalence relation R , defined as in [11] , actually has a stronger property, namely it is an equivalence relation, which is the largest among all the relations S centralizing R in the non-symmetric sense mentioned above. As a main result, we show that the existence of centralizers for any equivalence relation with this stronger property actually characterizes action accessibility for exact protomodular categories." @default.
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- W2037405086 date "2012-08-01" @default.
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- W2037405086 title "Action accessibility via centralizers" @default.
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- W2037405086 doi "https://doi.org/10.1016/j.jpaa.2012.02.023" @default.
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