Mathematics – Logic
Scientific paper
2007-05-25
Mathematics
Logic
10 pages, no figures, typos corrected
Scientific paper
A sectionally pseudocomplemented poset P is one which has the top element and in which every principal order filter is a pseudocomplemented poset. The sectional pseudocomplements give rise to an implication-like operation on P which coincides with the relative pseudocomplementation if P is relatively psudocomplemented. We characterise this operation and study some elementary properties of upper semilattices, lower semilattices and lattices equipped with this kind of implication. We deal also with a few weaker versions of implication. Sectionally pseudocomplemented lattices have already been studied in the literature.
No associations
LandOfFree
On implications in sectionally pseudocomplemented posets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On implications in sectionally pseudocomplemented posets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On implications in sectionally pseudocomplemented posets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-680454