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Some New Types of Stabilizers in BL-algebras and their Applications


Affiliations
1 Rajab Ali Borzooei, Department of Mathematics, Shahid Beheshti University, Theran, Iran, Islamic Republic of
2 Akbar Paad, Department of Mathematics, Shahid Beheshti University, Theran, Iran, Islamic Republic of
 

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"del algebras. We define the concept of ZRS- 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"del Algebra, Fantastic Filter, Stabilizer Filter, Normal Filter
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  • Some New Types of Stabilizers in BL-algebras and their Applications

Abstract Views: 386  |  PDF Views: 94

Authors

R. A. Borzooei
Rajab Ali Borzooei, Department of Mathematics, Shahid Beheshti University, Theran, Iran, Islamic Republic of
A. Paad
Akbar Paad, Department of Mathematics, Shahid Beheshti University, Theran, Iran, Islamic Republic of

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"del algebras. We define the concept of ZRS- 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"del Algebra, Fantastic Filter, Stabilizer Filter, Normal Filter

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i1%2F30955