Gelfand theorem implies Stone representation theorem of Boolean rings
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.
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1995-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171295000895 |
Summary: | 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. |
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ISSN: | 0161-1712 1687-0425 |