Article in volume
Authors:
Title:
Fuzzy weakly 2-absorbing ideals of a lattice
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 255-277
Received: 2020-07-22 , Revised: 2021-01-11 , Accepted: 2022-03-19 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1389
Abstract:
As a generalization of the concept of a weakly prime ideal, we introduce
the concepts of a fuzzy weak prime ideal, a fuzzy weakly $2$-absorbing ideal of
a lattice. Some results of fuzzy weakly $2$-absorbing ideals and fuzzy weakly
primary ideals are proved. We also introduce and study fuzzy weakly $2$-absorbing
ideals in a product of lattices.
Keywords:
lattice, fuzzy sublattice, fuzzy ideal, fuzzy weakly prime ideal, weakly 2-absorbing fuzzy ideal
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