Some Remarks on a Class of Distributive Lattices
- 1 May 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 9 (3-4) , 289-296
- https://doi.org/10.1017/s1446788700007205
Abstract
Distributive pseudo-complemented lattices form an extensively studied class of distributive lattices. Examples are the lattice of all open sets of a topological space, the lattice of all ideals of a distributive lattice with zero and the lattice of all congruences of an arbitrary lattice. Lattice which are just pseudo-complemented have been studied in detail by J. Varlet [6], [7] where, however, the most interesting results require at least the assumption of modularity, sometimes distributivity.Keywords
This publication has 6 references indexed in Scilit:
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