Aleph–zero categorical Stone algebras
نویسندگان
چکیده
منابع مشابه
Stone Algebras
A range of algebras between lattices and Boolean algebras generalise the notion of a complement. We develop a hierarchy of these pseudo-complemented algebras that includes Stone algebras. Independently of this theory we study filters based on partial orders. Both theories are combined to prove Chen and Grätzer’s construction theorem for Stone algebras. The latter involves extensive reasoning ab...
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Boolean algebras are affine complete by a well-known result of G. Grätzer. Various generalizations of this result have been obtained. Among them, a characterization of affine complete Stone algebras having a smallest dense element was given by R. Beazer. In this paper, generalizations of Beazer’s result are presented for algebras abstracting simultaneously Kleene and Stone algebras.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1978
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700011861