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 |
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Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000895 |
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Article |
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doaj-e523fcfc6622443989a102ef9ddf94132020-11-24T23:13:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118470170410.1155/S0161171295000895Gelfand theorem implies Stone representation theorem of Boolean ringsParfeny P. Saworotnow0Department of Mathematics, The Catholic University of America, Washington 20064, DC, USAStone 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.http://dx.doi.org/10.1155/S0161171295000895Banach algebraB∗-algebraBoolean algebraBoolean ring Stone representation theorem. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Parfeny P. Saworotnow |
| spellingShingle |
Parfeny P. Saworotnow Gelfand theorem implies Stone representation theorem of Boolean rings International Journal of Mathematics and Mathematical Sciences Banach algebra B∗-algebra Boolean algebra Boolean ring Stone representation theorem. |
| author_facet |
Parfeny P. Saworotnow |
| author_sort |
Parfeny P. Saworotnow |
| title |
Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_short |
Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_full |
Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_fullStr |
Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_full_unstemmed |
Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_sort |
gelfand theorem implies stone representation theorem of boolean rings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| description |
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. |
| topic |
Banach algebra B∗-algebra Boolean algebra Boolean ring Stone representation theorem. |
| url |
http://dx.doi.org/10.1155/S0161171295000895 |
| work_keys_str_mv |
AT parfenypsaworotnow gelfandtheoremimpliesstonerepresentationtheoremofbooleanrings |
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1725597883907964928 |