Geodesic
$\alpha$-filters and $\alpha$-order-ideals in distributive quasicomplemented semilattices
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 15-32.

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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.
DOI : 10.14712/1213-7243.2021.004
Classification : 03G10, 06A12
Keywords: bounded distributive semilattice; quasicomplement; relative annihilator; order-ideal; filter 
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Calomino, Ismael; Celani, Sergio. $\alpha$-filters and $\alpha$-order-ideals in distributive  quasicomplemented semilattices. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 15-32. doi : 10.14712/1213-7243.2021.004. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.004/

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