Filters of R0-algebras
The notion of fated filters in R0-algebras is introduced. Characterizations of (fated) filters are given. A filter generated by a set is established. By introducing the notion of finite ⊙-property, we show that if F is a nonempty subset of an R0-algebra L that has the finite ⊙-property, then there e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/93249 |
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| _version_ | 1832558924517081088 |
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| author | Young Bae Jun Liu Lianzhen |
| author_facet | Young Bae Jun Liu Lianzhen |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | The notion of fated filters in R0-algebras is introduced.
Characterizations of (fated) filters are given. A filter generated
by a set is established. By introducing the notion of finite
⊙-property, we show that if F is a nonempty subset of an
R0-algebra L that has the finite ⊙-property, then there
exists a maximal filter of L
containing F. |
| format | Article |
| id | doaj-art-452c613936e641c8be44780fbbab58c5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-452c613936e641c8be44780fbbab58c52025-02-03T01:31:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9324993249Filters of R0-algebrasYoung Bae Jun0Liu Lianzhen1Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, KoreaCollege of Science, Xi'an Jiaotong University, Xi'an 710049, ChinaThe notion of fated filters in R0-algebras is introduced. Characterizations of (fated) filters are given. A filter generated by a set is established. By introducing the notion of finite ⊙-property, we show that if F is a nonempty subset of an R0-algebra L that has the finite ⊙-property, then there exists a maximal filter of L containing F.http://dx.doi.org/10.1155/IJMMS/2006/93249 |
| spellingShingle | Young Bae Jun Liu Lianzhen Filters of R0-algebras International Journal of Mathematics and Mathematical Sciences |
| title | Filters of R0-algebras |
| title_full | Filters of R0-algebras |
| title_fullStr | Filters of R0-algebras |
| title_full_unstemmed | Filters of R0-algebras |
| title_short | Filters of R0-algebras |
| title_sort | filters of r0 algebras |
| url | http://dx.doi.org/10.1155/IJMMS/2006/93249 |
| work_keys_str_mv | AT youngbaejun filtersofr0algebras AT liulianzhen filtersofr0algebras |