Volume no :2, Issue no: 1, September (2009)

Journal of Algebra, Number Theory: Advances and Applications

ON FOLD FILTERS IN BL-ALGEBRAS

Author's: M. Shirvani-Ghadikolai, A. Moussavi, A. Kordi and A. Ahmadi
Pages: [27] - [42]
Received Date: September 1, 2009; Revised September 26, 2009
Submitted by:

Abstract

The notions of n-fold fantastic basic logic and the related algebras, n-fold fantastic BL-algebras, are introduced. We also define n-fold fantastic filters and prove some relations between these filters and construct quotient algebras via these filters.

Keywords

BL-algebra, n-fold (positive) implicative filter, n-fold fantastic basic logic, n-fold fantastic BL-algebra, (weak) n-fold fantastic filter.