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Radical of filters in BL-algebras

✍ Scribed by Somayeh Motamed; Lida Torkzadeh; Arsham Borumand Saeid; Neda Mohtashamnia

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 138 KB
Volume: 57
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.201010003

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✦ Synopsis

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 and prove some theorems which determine the relationship between this notion and the other types of filters of a BL-algebra. Moreover, we prove that A/F is a semi simple BL-algebra if and only if F is a semi maximal filter of A.

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