Projectivity,prime ideals,and chain conditions of Stone algebras |
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Authors: | Ivo Düntsch |
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Institution: | 1. Freie Universit?t Berlin, Berlin, West Germany
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Abstract: | Some properties of projective stone algebras are exhibited, which are connected with the ordered set of prime ideals. From
this we derive a simple characterization of finite projective Stone algebras, and of those projective Stone algebras, whose
centre is a projective Boolean algebra, and whose dense set is a projective Stone algebras, whose centre is a projective Boolean
algebra, and whose dense set is a projective distributive lattice. Finally, we give some conditions under which a Stone algebra
has no chains of type λ, where λ is an infinite regular cardinal.
The results of this paper are part of the author's Ph.D. Thesis written under the direction of S. Koppelberg. The author wishes
to express his gratitude to Prof. Koppelberg for her guidance and her patience.
Presented by K. A. Baker. |
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