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On GLn(B) Where B is a Boolean Ring

Published online by Cambridge University Press:  20 November 2018

H. Gonshor*
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, New Jersey, 08903, U.S.A.
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The aim of this paper is to generalize the main results of [1] to GLn(B) by means of proofs which are more conceptual and less computational. In addition, by means of the Stone space we will obtain results which are new even for the case n = 2. Finally we shall make some remarks of a categorical nature.

The author is especially interested in the subject because of the overlap here of many areas of mathematics. Concepts from topology, model theory, and category theory are all relevant.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Rosenstein, J. G., On GL2(R) where R is a Boolean ring, Can. Math. Bull. 15 (1972), 263-275.Google Scholar