We characterise, in pointed regular categories, the ideals as the zero-classes of surjective relations. Moreover, we study a variation of the Smith is Huq condition: two surjective left split relations commute as soon as their zero-classes commute.
What is an ideal a zero-class of? / N. Martins-Ferreira, A. Montoli, A. Ursini, T. Van der Linden. - In: JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - ISSN 0219-4988. - 16:3(2017 Mar 01).
What is an ideal a zero-class of?
A. MontoliSecondo
;
2017
Abstract
We characterise, in pointed regular categories, the ideals as the zero-classes of surjective relations. Moreover, we study a variation of the Smith is Huq condition: two surjective left split relations commute as soon as their zero-classes commute.
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