In this paper, the notion of the radical of a filter in BL-algebras is defined and several characterizations of the radical of a filter are given. Also we prove that A/F is an M V -algebra if and only if Ds (A) β F . After that we define the notion of semi maximal filter in BL-algebras and we state
Some results in BL -algebras
β Scribed by Arsham Borumand Saeid; Somayeh Motamed
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 94 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
Abstract
We define the set of double complemented elements in BLβalgebras and state and prove some theorems which determines properties of these sets. We introduce the notion of an almost top element and study the properties of these elements (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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