Notes on mildly distributive semilattices

Year, pages: 2017, 1073 - 1084

In this paper we shall investigate the mildly distributive meet-semilattices by means of the study of their filters and Frink-ideals as well as applying the theory of annihilator. We recall some characterizations of the condition of mildly-distributivity and we give several new characterizations. We prove that the definition of strong free distributive extension, introduced by Hickman in 1984, can be simplified and we show a correspondence between (prime) Frink-ideals of a mildly distributive semilattice and (prime) ideals of its strong free distributive extension.

Celani, S., González, L. 2017. Notes on mildly distributive semilattices. In Mathematica Slovaca, vol. 67, no.5, pp. 1073-1084. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0033

Celani, S., González, L. (2017). Notes on mildly distributive semilattices. Mathematica Slovaca, 67(5), 1073-1084. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0033