Some new types of stabilizers in BL-algebras and their applications

R A  Borzooei  and A  Paad

doi:10.17485/ijst/2012/v5i1.29

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Some new types of stabilizers in BL-algebras and their applications

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i1.29

Year: 2012, Volume: 5, Issue: 1, Pages: 1-6

Original Article

Some new types of stabilizers in BL-algebras and their applications

R.A. Borzooei¹and A. Paad²

¹Rajab Ali Borzooei, Department of Mathematics,
²Akbar Paad, Department of Mathematics, [email protected],[email protected]
*Author For Correspndence
R.A. Borzooe
Department of Mathematics
Email:[email protected],[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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