RADICAL OF FILTERS IN RESIDUATED LATTICES
Publish place: Journal of Algebraic Systems، Vol: 4، Issue: 2
Publish Year: 1396
Type: Journal paper
Language: English
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Document National Code:
JR_JAS-4-2_003
Index date: 9 July 2019
RADICAL OF FILTERS IN RESIDUATED LATTICES abstract
In this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. We show that if F is a positive implicative filter (or obstinate filter), then Rad(F)=F. We proved the extension theorem for radical of filters in residuated lattices. Also, we study the radical of filters in linearly ordered residuated lattices.
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RADICAL OF FILTERS IN RESIDUATED LATTICES authors
S. Motamed
Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran.