Indian Journal of Science and Technology
Year: 2012, Volume: 5, Issue: 1, Pages: 1-6
R.A. Borzooei1 and A. Paad2
1Rajab Ali Borzooei, Department of Mathematics,
2Akbar Paad, Department of Mathematics, [email protected],[email protected]
*Author For Correspndence
Department of Mathematics
Email:[email protected],[email protected]
In this paper we introduce some new types of stabilizers in BL-algebras and we state and prove some theorems which determine the relations among stabilizers, MV–algebras and G¨odel algebras. We define the concept ofZRS– condition in BL-algebras and we find a relation between this class of BL-algebras and MV–algebras. Finally, we show that the (semi) normal filters and fantastic filters are equal in BL-algebra.
Keywords: BL-algebra, MV–algebra, G¨odel algebra, fantastic filter, stabilizer filter, normal filter. Mathematical subject classification (2000): 06D33, 06E99, 03G25
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