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α -filters and α -order-ideals in distributive quasicomplemented semilattices

Ismael Calomino, Sergio A. Celani (2021)

Commentationes Mathematicae Universitatis Carolinae

We introduce some particular classes of filters and order-ideals in distributive semilattices, called α -filters and α -order-ideals, respectively. In particular, we study α -filters and α -order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through α -order-ideals.

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