RADICAL OF FILTERS IN RESIDUATED LATTICES

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MOTAMED S.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2017 | Volume:4 | Issue:2 Page(s): 111-121

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Information Journal Paper

Title

RADICAL OF FILTERS IN RESIDUATED LATTICES

Author(s)

MOTAMED S. | Issue Writer Certificate

Keywords

(Maximal) Prime lter

Radical

Residuated lattice

Abstract

In this paper, the notion of the Radical of a lter in Residuated lattices is de ned and several characterizations of the Radical of a lter are given. We show that if F is a positive im-plicative lter (or obstinate lter), then Rad(F) = F. We proved the extension theorem for Radical of lters in Residuated lattices. Also, we study the Radical of lters in linearly ordered Residuated lattices.

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APA: Copy

MOTAMED, S.. (2017). RADICAL OF FILTERS IN RESIDUATED LATTICES. JOURNAL OF ALGEBRAIC SYSTEMS, 4(2 ), 111-121. SID. https://sid.ir/paper/268347/en

Vancouver: Copy

MOTAMED S.. RADICAL OF FILTERS IN RESIDUATED LATTICES. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2017;4(2 ):111-121. Available from: https://sid.ir/paper/268347/en

IEEE: Copy

S. MOTAMED, “RADICAL OF FILTERS IN RESIDUATED LATTICES,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 4, no. 2 , pp. 111–121, 2017, [Online]. Available: https://sid.ir/paper/268347/en

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