Mathematica Bohemica, Vol. 144, No. 3, pp. 241-250, 2019
Note on $\alpha$-filters in distributive nearlattices
Ismael Calomino
Received September 7, 2017. Published online September 25, 2018.
Abstract: In this short paper we introduce the notion of $\alpha$-filter in the class of distributive nearlattices and we prove that the $\alpha$-filters of a normal distributive nearlattice are strongly connected with the filters of the distributive nearlattice of the annihilators.
Affiliations: Ismael Calomino, Comisión de Investigaciones Científicas - Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina, e-mail: calomino@exa.unicen.edu.ar