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.
Keywords:  distributive nearlattice; annihilator; $\alpha$-filter
Classification MSC:  06A12, 03G10, 06D50


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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


 
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