Filters of R0-algebras

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: Young Bae Jun, Liu Lianzhen
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/93249
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spelling doaj-452c613936e641c8be44780fbbab58c52020-11-24T22:31:50ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author Young Bae Jun
Liu Lianzhen
spellingShingle Young Bae Jun
Liu Lianzhen
Filters of R0-algebras
International Journal of Mathematics and Mathematical Sciences
author_facet Young Bae Jun
Liu Lianzhen
author_sort Young Bae Jun
title Filters of R0-algebras
title_short Filters of R0-algebras
title_full Filters of R0-algebras
title_fullStr Filters of R0-algebras
title_full_unstemmed Filters of R0-algebras
title_sort filters of r0-algebras
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-01-01
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.
url http://dx.doi.org/10.1155/IJMMS/2006/93249
work_keys_str_mv AT youngbaejun filtersofr0algebras
AT liulianzhen filtersofr0algebras
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