## Ismael Calomino, Sergio Celani

*\alpha-filters and \alpha-order-ideals in distributive quasicomplemented semilattices*

Comment.Math.Univ.Carolin. 62,1 (2021) 15-32.**Abstract: **We introduce some particular classes of filters and order-ideals in distributive semilattices, called \alpha-filters and \alpha-order-ideals, respectively. In particular, we study \alpha-filters and \alpha-order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through \alpha-order-ideals.

**Keywords:** bounded distributive semilattice; quasicomplement; relative annihilator; order-ideal; filter

**DOI:** DOI 10.14712/1213-7243.2021.004

**AMS Subject Classification:** 06A12 03G10

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