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) ⊆ F . After that we define the notion of semi maximal filter in BL-algebras and we state
n -fold filters in BL-algebras
✍ Scribed by Masoud Haveshki; Esfandiar Eslami
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 112 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
Abstract
In this paper we introduce n ‐fold (positive) implicative basis logic and the related algebras called n ‐fold (positive) implicative BL‐algebras. Also we define n ‐fold (positive) implicative filters and we prove some relations between these filters and construct quotient algebras via these filters. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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