Affiliation:
1. Department of Mathematics, Persian Gulf University, Bushehr, Iran
Abstract
The paper is devoted to introduce the notions of some types of stabilizers in
non-commutative residuated lattices and to investigate their properties. We
establish a connection between (contravariant) Galois connection and
stabilizers of a residuated lattices. If A is a residuated lattice and F be
a filter of A, we show that the set of all stabilizers relative to F of a
same type forms a complete lattice. Furthermore, we prove that ST - F?l,
ST - Fl and ST - Fs are pseudocomplemented lattices.
Publisher
National Library of Serbia
Cited by
2 articles.
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