The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters
The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/854168 |
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| _version_ | 1832552656357294080 |
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| author | Yong Lin Liu |
| author_facet | Yong Lin Liu |
| author_sort | Yong Lin Liu |
| collection | DOAJ |
| description | The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R0 algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras. |
| format | Article |
| id | doaj-art-884b34a52a2243cfb2c02296e22a7062 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-884b34a52a2243cfb2c02296e22a70622025-02-03T05:58:10ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/854168854168The Axioms Independence of Pseudo-Weak-R0 Algebras and FiltersYong Lin Liu0Department of Mathematics and Computer, Wuyi University, Wuyishan, Fujian 354300, ChinaThe most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R0 algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras.http://dx.doi.org/10.1155/2014/854168 |
| spellingShingle | Yong Lin Liu The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters The Scientific World Journal |
| title | The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters |
| title_full | The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters |
| title_fullStr | The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters |
| title_full_unstemmed | The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters |
| title_short | The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters |
| title_sort | axioms independence of pseudo weak r0 algebras and filters |
| url | http://dx.doi.org/10.1155/2014/854168 |
| work_keys_str_mv | AT yonglinliu theaxiomsindependenceofpseudoweakr0algebrasandfilters AT yonglinliu axiomsindependenceofpseudoweakr0algebrasandfilters |