Remarks on some connections between ideals and filters in residuated lattices

Authors :: Piciu Dana
Dan Christina
Boboc Florentina
Source :: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 2, Pp 145-155 (2024)
Publication Year :: 2024
Publisher :: Sciendo, 2024.
Abstract: Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.

Subjects :: residuated lattice
filter
ideal
mv-ideal
mv-filter
primary 03b50, 06a06
secondary 03g05, 08a72, 06d35, 06b20, 03c05
Mathematics
QA1-939

Language :: English
ISSN :: 18440835
Volume :: 32
Issue :: 2
Database :: Directory of Open Access Journals
Journal :: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Publication Type :: Academic Journal
Accession number :: edsdoj.8b9076c5e74bb48019dd147d30b7f3
Document Type :: article
Full Text :: https://doi.org/10.2478/auom-2024-0024