What is an ideal a zero-class of?

Martins Ferreira, Nelson;Montoli, Andrea;Ursini, Aldo;Van der Linden, Tim
(2017) Journal of Algebra and its Applications — Vol. 16, p. 1750049 (2017)

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Authors
  • Martins Ferreira, NelsonIPLeiria
    Author
  • Montoli, AndreaUCLouvain
    Author
  • Ursini, AldoUniversita degli studi di Siena
    Author
  • Author
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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Citations

Martins Ferreira, N., Montoli, A., Ursini, A., & Van der Linden, T. (2017). What is an ideal a zero-class of? Journal of Algebra and its Applications, 16, 1750049. https://doi.org/10.1142/S0219498817500499 (Original work published 2017)