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: 0.4

SJR: 0.203

SNIP: 0.562

MCQ: 0.12

Index Copernicus: 121.02

Discussiones Mathematicae - General Algebra and Applications

Article in volume


Authors:

K. Hila

Kostaq Hila

Department of Mathematical Engineering
Polytechnic University of Tirana
Tirana 1001, Albania

email: kostaq_hila@yahoo.com

M. Izhar

Muhammad Izhar

Government Degree College Garhi Kapura Mardan
23200, Khyber Pakhtunkhwa, Pakistan

email: mizharmath@gmail.com

M. Farooq

Muhammad Farooq

Department of Mathematics
Abdul Wali Khan University Mardan
23200, Khyber Pakhtunkhwa, Pakistan

email: farooq4math@gmail.com

A. Khan

Asghar Khan

Department of Mathematics
Abdul Wali Khan University Mardan
23200, Khyber Pakhtunkhwa, Pakistan

email: azhar4set@yahoo.com

Title:

$(M,N)$-double-framed soft $bi$-ideals of Abel Grassmann's groupoids

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 425-448

Received: 2020-10-15 , Revised: 2021-01-28 , Accepted: 2022-07-05 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1400

Abstract:

The left invertive law makes Abel Grassmann's groupoids (briefly AG-groupoids) a very interesting structure to study. In this paper, we define $(M,N)$-double-framed soft bi-ideals (briefly $(M,N)$-DFS bi-ideals) and $(M,N)$-double-framed soft generalized bi-ideals (briefly $(M,N)$-DFS generalized bi-ideals) of AG-groupoids and study some of its properties. We obtain some interesting results of these notions in intra-regular AG-groupoids.

Keywords:

DFS-set, $(M,N)$-DFS AG-groupoid, $(M,N)$-DFS generalized bi-ideal, $(M,N)$-DFS bi-ideal, DFS int-uni product

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