Some results on lters in residuated lattices
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2021-10-09 11:49
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512.562 (2)
Algebra (400)
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MOTAMED, Somayeh, MOGHADERI, Javad. Some results on lters in residuated lattices. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 91-105. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848

Some results on lters in residuated lattices

CZU: 512.562
MSC 2010: 03B47, 03G25, 06D99.

Pag. 91-105

Motamed Somayeh1, Moghaderi Javad2
 
1 Islamic Azad University of Bandar Abbas,
2 University of Hormozgan, Bandar Abbas
 
 
Disponibil în IBN: 25 august 2019


Rezumat

We study the notions of nodal, associative, strong, integral lters in residuated lattices and then state and prove some theorems which determine the relationships of these lters and other lters in residuated lattices. Also we get some new properties of positive implicative lters in residuated lattices. And we also study the notions of strong, integral residuated lattices and investigate its properties.

Cuvinte-cheie
(integral, strong) filter, (integral, strong) residuated lattice