Implicative and positive implicative filters of residuated lattices in multiset context. (4th July 2019)

• Record Type: Journal Article
• Authors: Vimala, J.; Anusuya Ilamathi, VS.; Rajareega, S.
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 22:Number 5(2019)
• Page Start: 869
• Page End: 882
• Publication Date: 2019-07-04
• Subjects: 03G10; Multiset filter -- Multiset implicative filter -- Multiset positive implicative filter; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2019.1685238
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: 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.