DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

S. K. Nimbhorkar

Shriram K. Nimbhorkar

Department of Mathematics

Dr. Babasaheb Ambedkar Marathwada University

Aurangabad 431004, India

email: sknimbhorkar@gmail.com

Y. S Patil

Yogita S. Patil

Department of Mathematics
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad 431004, India

email: saharshyog.143@rediffmail.com

Title:

Fuzzy weakly 2-absorbing ideals of a lattice

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Source:

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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