Stone Lattices. I: Construction Theorems
- 1 January 1969
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 21, 884-894
- https://doi.org/10.4153/cjm-1969-096-5
Abstract
Stone lattices were (named and) first studied in 1957 (5). Since then, a great number of papers have been written on Stone lattices and a very satisfactory theory evolved. Despite the fact that all chains with 0, 1 as well as all Boolean algebras are Stone lattices, it turns out that many of the nice theorems on Boolean algebras have analogues, in fact, generalizations for Stone lattices. To give just two examples: the characterization of Boolean algebras in terms of prime ideals (Nachbin (6)) is generalized in (5) (see also (9)); Stone's representation theory (8) is generalized in (4); see also (2).Keywords
This publication has 0 references indexed in Scilit: