\(\sigma \)-Ideals in distributive pseudocomplemented residuated lattices
In this paper we shall introduce the notion of \(\sigma \)-ideals in the variety of pseudocomplemented residuated lattices. We shall also give some characterizations of the stonean pseudocomplemented residuated lattices.
KeywordsDistributive residuated lattices Pseudocomplemented lattices Stonean residuated lattices
- Chajda I, Halaš R, Kühr J (2007) Semilattice structures. In: Research and exposition in mathematics, vol 30. HeldermannGoogle Scholar
- Galatos N, Jipsen P, Kowalski T, Ono H (2007) Residuated lattices: an algebraic glimpse at substructural logics. In: Studies in logics and the foundations of mathematics, vol 151. ElsevierGoogle Scholar
- Turunen E (1999) Mathematics behind fuzzy logic. Advances in soft computing. Physica-Verlag, HeidelbergGoogle Scholar
© Springer-Verlag Berlin Heidelberg 2015