PMTL Filters, Rℓ Filters and PBL Filters in Residuated Lattices
Saeed Rasouli and Akefe Radfar
The paper is devoted to introduce the notions of PMTL filters, Rℓ filters and PBL filters in residuated lattices and to investigate their properties. Several characterizations of left-(right-)MTL filters, left-(right-)Rℓ filters and left-(right-)BL filters are derived.
2010 Mathematics Subject Classification: 06F99,06D20
Keywords: Residuated lattice; pseudo-MTL algebra; bounded R monoid; pseudo-BL algebra; filter.