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Filter theory of IL-algebras

Published 14 Feb 2020 in math.LO | (2003.01524v1)

Abstract: In this paper, we introduce the concept of filter on IL-algebra. It is proved that this concept generalizes the notion of filter on Residuated Lattices. Prime filters on IL-algebra are defined and few interesting properties are obtained. It has been shown that quotient algebra corresponding to IL-algebra is formed with the help of filters also an IL-algebra.

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