RADICAL OF FILTERS IN RESIDUATED LATTICES

‎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.

Keywords:

‎(Maximal) Prime filter‎ , ‎Radical‎ , ‎Residuated‎ ‎lattice

Authors

S. Motamed

Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran.

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https://civilica.com/doc/893203

شناسه ملی سند علمی:

JR_JAS-4-2_003

تاریخ نمایه سازی: 18 تیر 1398

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Motamed, S.,1396,RADICAL OF FILTERS IN RESIDUATED LATTICES,https://civilica.com/doc/893203

Scientometrics

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Ranking of Islamic Azad University of BandarAbbas

Type of center: Azad University

Paper count: 5,399

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