Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (12): 36-37.DOI: 10.3778/j.issn.1002-8331.2009.12.011
• 研究、探讨 • Previous Articles Next Articles
LI Xiao-jie,WU Hong-bo
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李小杰,吴洪博
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Abstract: × filter is defined by introducing × operator in BR0-algebras，and based on that the concept of submaximal × filter is given.Some properties are discussed，and the follow theorem is obtained，every × filter of BR0-algebras M can be represented as intersection of some submaximal ×.Specially in the BR0-algebras with descending chain condition of × filters，every × filter can be represented as finite intersection of submaximal filters.
Key words: BR0-algebras, × filter, submaximal × filter
摘要： 首先在BR0代数M中引入×滤子，然后又给出了M中次极大×滤子的概念，并讨论了它的性质，得到了BR0代数中的每个×滤子都可表示为一些次极大×滤子的交的结果。特别地，在满足×滤子降链条件的BR0代数中，每个×滤子都可表示为有限个次极大×滤子的交。
关键词: BR0代数, ×滤子, 次极大×滤子
LI Xiao-jie,WU Hong-bo. Submaximal filter of BR0-Algebras[J]. Computer Engineering and Applications, 2009, 45(12): 36-37.
李小杰,吴洪博. BR0代数中的次极大×滤子[J]. 计算机工程与应用, 2009, 45(12): 36-37.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2009.12.011
http://cea.ceaj.org/EN/Y2009/V45/I12/36
