Pseudo Treealgebras

Notre Dame Journal of Formal Logic 42 (2):101-108 (2001)
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Abstract

A pseudotree is a partially ordered set for which is a linear ordering for each . Define , the pseudo treealgebra over T, as the subalgebra of the power set of T generated by where . It is shown that every pseudo treealgebra is embeddable into an interval algebra; thus it is a retractive Boolean algebra. Moreover, superatomicity of is described using conditions on

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10.1305/ndjfl/1054837936

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