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1998•Unpublished venueRequires access

Positive implicative and associative filters of lattice implication algebras

Young-Bae Jun, Yang Xu, Keyun Qin

Open publisher page 40 citations

Abstract

ABSTRACT. We introduce the concepts of a positive implicative filter and an associative filter in a lattice implication algebra. We prove that (i) every positive implicative filter is an implicative filter, and (ii) every associative filter is a filter. We provide equivalent conditions for both a positive implicative filter and an associative filter. 1.

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What this paper is about

ABSTRACT. We introduce the concepts of a positive implicative filter and an associative filter in a lattice implication algebra. We prove that (i) every positive implicative filter is an implicative filter, and (ii) every associative filter is a filter. We provide equivalent conditions for both a positive implicative filter and an associative filter. 1.

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Available abstract

ABSTRACT. We introduce the concepts of a positive implicative filter and an associative filter in a lattice implication algebra. We prove that (i) every positive implicative filter is an implicative filter, and (ii) every associative filter is a filter. We provide equivalent conditions for both a positive implicative filter and an associative filter. 1.

Key concepts: Associative property, Mathematics, Filter (signal processing), Lattice (music), Lattice phase equaliser, Pure mathematics, Algebra over a field, Discrete mathematics

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