Obstinate lters in residuated lattices
Arsham Borumand Saeid, Manijeh Pourkhatoun · 2012
In this paper we introduce the notion of obstinate lter in a residuated lattice A and we state and prove some theorems which determine the relationship between this notion and other types of lters of a residuated lattice and we show whether (simple, local, quasi-local) residuated lattices have an obstinate lter. Also, we prove that, if F is an obstinate lter of a residuated lattice A, then F is a Boolean lter and A=F is the two-element chain.