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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Wiley
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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| _version_ | 1832555888466984960 |
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| author | Parfeny P. Saworotnow |
| author_facet | Parfeny P. Saworotnow |
| author_sort | Parfeny P. Saworotnow |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e523fcfc6622443989a102ef9ddf9413 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e523fcfc6622443989a102ef9ddf94132025-02-03T05:46:59ZengWileyInternational 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. |
| 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. |
| title | 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_short | Gelfand theorem implies Stone representation theorem of Boolean rings |
| title_sort | gelfand theorem implies stone representation theorem of boolean rings |
| 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 |