Pseudo-Weak-R0 Algebras
A positive answer to the open problem of Iorgulescu on extending weak-R0 algebras and R0-algebras to the noncommutative forms is given. We show that pseudo-weak-R0 algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R0 algebras are categorically isomorphic to pseudo-NM alge...
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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/10.1155/2014/352381 |
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| _version_ | 1832555421424943104 |
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| author | Yong Lin Liu Xiaobo Cai |
| author_facet | Yong Lin Liu Xiaobo Cai |
| author_sort | Yong Lin Liu |
| collection | DOAJ |
| description | A positive answer to the open problem of Iorgulescu on extending weak-R0 algebras and R0-algebras to the noncommutative forms is given. We show that pseudo-weak-R0 algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R0 algebras are categorically isomorphic to pseudo-NM algebras. Some properties, the noncommutative forms of the properties in weak-R0 algebras and R0-algebras, are investigated. The simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained. |
| format | Article |
| id | doaj-art-55cf9dc419554de787546b94fbc0ed3a |
| 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-55cf9dc419554de787546b94fbc0ed3a2025-02-03T05:48:18ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/352381352381Pseudo-Weak-R0 AlgebrasYong Lin Liu0Xiaobo Cai1Department of Mathematics and Computer, Wuyi University, Wuyishan, Fujian 354300, ChinaDepartment of Computer Science and Technology, Chuxiong Normal University, Chuxiong, Yunnan 675000, ChinaA positive answer to the open problem of Iorgulescu on extending weak-R0 algebras and R0-algebras to the noncommutative forms is given. We show that pseudo-weak-R0 algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo-R0 algebras are categorically isomorphic to pseudo-NM algebras. Some properties, the noncommutative forms of the properties in weak-R0 algebras and R0-algebras, are investigated. The simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained.http://dx.doi.org/10.1155/2014/352381 |
| spellingShingle | Yong Lin Liu Xiaobo Cai Pseudo-Weak-R0 Algebras The Scientific World Journal |
| title | Pseudo-Weak-R0 Algebras |
| title_full | Pseudo-Weak-R0 Algebras |
| title_fullStr | Pseudo-Weak-R0 Algebras |
| title_full_unstemmed | Pseudo-Weak-R0 Algebras |
| title_short | Pseudo-Weak-R0 Algebras |
| title_sort | pseudo weak r0 algebras |
| url | http://dx.doi.org/10.1155/2014/352381 |
| work_keys_str_mv | AT yonglinliu pseudoweakr0algebras AT xiaobocai pseudoweakr0algebras |