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arXiv · 1904.10302

Quasicomplemented residuated lattices

Saeed Rasouli
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Abstract

In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any dense element is a minimal prime filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it is disjunctive and quasicomplemented. Finally, some characterizations for quasicomplemented residuated lattices are given by means of the new notion of $\alpha$-filters.

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Saeed Rasouli. 2019-04-20. Quasicomplemented residuated lattices. https://arxiv.org/abs/1904.10302

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