Implicative and positive implicative filters of residuated lattices in multiset context
J. Vimala, VS. Anusuya Ilamathi, S. Rajareega · Journal of Discrete Mathematical Sciences and Cryptography · 2019
In this paper, we introduce the concept of multiset implicative filter and multiset positive implicative filter of residuated lattice. Also, we discuss their characterizations and we show that M is a multiset implicative filter of X if and only if the quotient residuated lattice X/M is a Heyting algebra.