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The bracket ring of a combinatorial geometry. II. Unimodular geometries

The bracket ring of a combinatorial geometry. II. Unimodular geometries

The bracket ring of a combinatorial geometry <italic>G</italic> is a ring of generalized determinants which acts as a universal coordinatization object for <italic>G</italic>. Our main result is the characterization of a unimodular geometry as a binary geometry such that the radical of the bracket ring is a prime ideal. This …