Lattices freely generated by posets within a variety. Part I: Four easy varieties

Details Lattices freely generated by posets within a variety. Part I: Four easy varieties Lattices freely generated by posets within a variety. Part I: Four easy varieties

2010-04-23

arxiv.org/abs/1004.4082v1

Mathematics

Combinatorics

18 pages, 6 figures

Scientific paper

We introduce an algorithm for computing closure systems derived from a family
of implications on a set. Semilattices presentations are explored and used in
conjunction with the algorithm to compute various types of lattices freely
generated by partially ordered sets within four easy varieties.

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