Mathematical Logic Quarterly 57 (2):166-179 (2011)

Abstract
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 MV-algebra if and only if Ds ⊆ 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. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keywords (fantastic  normal  03G25  MSC (2010) 03B47  (positive) implicative  semi simple BL‐algebra  BL‐algebra  radical of a filter  prime  06D99  semi maximal) filter  MV‐algebra  maximal
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DOI 10.1002/malq.201010003
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References found in this work BETA

Boolean Deductive Systems of BL-Algebras.Esko Turunen - 2001 - Archive for Mathematical Logic 40 (6):467-473.
Mathematics Behind Fuzzy Logic.Esko Turunen - 1999 - Physica-Verlag Heidelberg.
Compact Representations of BL-Algebras.Antonio Di Nola & Laurentiu Leustean - 2003 - Archive for Mathematical Logic 42 (8):737-761.
Some Results in BL ‐Algebras.Arsham Borumand Saeid & Somayeh Motamed - 2009 - Mathematical Logic Quarterly 55 (6):649-658.
Mathematics Behind Fuzzy Logic.Esko Turunen - 2002 - Studia Logica 71 (1):139-141.

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