$\alpha$-filters and $\alpha$-order-ideals in distributive quasicomplemented semilattices
Ismael Calomino, Celani Sergio · Commentationes Mathematicae Universitatis Carolinae · 2021
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.