Research Article

Remarks on normal distributive nearlattices

Published in: Quaestiones Mathematicae
Volume 44 , issue 4 , 2021 , pages: 513–524

DOI: 10.2989/16073606.2020.1727582

Author(s): Ismael Calomino , Argentina , Luciano J. González , Argentina

Keywords: Primary: 06A12 , Secondary: 03G10 , 06D75 , Primary: 06A12 , Secondary: 03G10 , 06D75

Abstract

In this paper, we present the notions of α-ideal and α-congruence on a distributive nearlattice. We prove that the α-ideals and α-congruences of a normal distributive lattice A are in a one-to-one correspondence with the ideals and congruences of the distributive nearlattice R(A) of the annihilators of A, respectively.

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