(1) School of Mathematical and Computing Sciences, Victoria University of Wellington, PO Box 600, . Wellington, New Zealand;(2) Pacific Northwest, National Laboratories, ., . Richland, WA, USA
Abstract:
The join semi-lattice of faces of an n-cube has a rich
structure. In considering generalizations of these structures we are led to looking at interval
algebras constructed using Boolean filters. We look at the structure of these algebras and
their automorphism groups.Dedicated to the memory of Gian-Carlo Rota