Browsing Doctoral Theses by Subject "230101 Mathematical Logic, set Theory, Lattices and Combinatorics"

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K-Regular Matroids

Semple, Charles A (Victoria University of Wellington, 1998)

The class of matroids representable over all fields is the class of regular matroids. The class of matroids representable over all fields except perhaps GF(2) is the class of near-regular matroids. Let k be a non-negative ...
Monadic Bounded Algebras

Akishev, Galym (Victoria University of Wellington, 2009)

The object of study of the thesis is the notion of monadic bounded algebras (shortly, MBA's). These algebras are motivated by certain natural constructions in free (first-order) monadic logic and are related to free monadic ...
Ultraproducts and Higher Order Models

Malcolm, Wilfred Gordon (Victoria University of Wellington, 1972)

The programme of work for this thesis began with the somewhat genenal intention of parallelling in the context of higher order models the ultraproduct construction and its consequences as developed in the literature for ...