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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 701-704
doi:10.1155/S0161171295000895

Gelfand theorem implies Stone representation theorem of Boolean rings

Parfeny P. Saworotnow

Department of Mathematics, The Catholic University of America, Washington 20064, DC, USA

Abstract

Stone Theorem about representing a Boolean algebra in terms of open-closed subsets of a topological space is a consequence of the Gelfand Theorem about representing a B∗- algebra as the algebra of continuous functions on a compact Hausdorff space.