A New View of Intra-Regular AG-Groupoids in Terms of Generalized Cubic Ideals

M. Gulistan; S. Kadry; M. Azhar

A New View of Intra-Regular AG-Groupoids in Terms of Generalized Cubic Ideals

M. Gulistan
, S. Kadry
, M. Azhar

Hazara University
Beirut Arab University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we characterize the intra-regular AG-groupoids in terms of generalized cubic set. We show that the concept of (Formula presented)-cubic ideals and of (Formula presented)-cubic interior ideals in an intra-regular AG-groupoid S with left identity coincides. We additionally demonstrate that an AG-groupoid S with left identity is intra-regular if and only if (Formula presented)-cubic quasi ideals (Formula presented) and (Formula presented) of S.

Original language	English
Pages (from-to)	217-241
Number of pages	25
Journal	Malaysian Journal of Mathematical Sciences
Volume	15
Issue number	2
State	Published - May 2021
Externally published	Yes

Keywords

AG-groupoids
cubic sets
generalized cubic ideals
generalized sub AG-groupoids
intra-regular AG-groupoids

Cite this

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title = "A New View of Intra-Regular AG-Groupoids in Terms of Generalized Cubic Ideals",

abstract = "In this paper we characterize the intra-regular AG-groupoids in terms of generalized cubic set. We show that the concept of (Formula presented)-cubic ideals and of (Formula presented)-cubic interior ideals in an intra-regular AG-groupoid S with left identity coincides. We additionally demonstrate that an AG-groupoid S with left identity is intra-regular if and only if (Formula presented)-cubic quasi ideals (Formula presented) and (Formula presented) of S.",

keywords = "AG-groupoids, cubic sets, generalized cubic ideals, generalized sub AG-groupoids, intra-regular AG-groupoids",

author = "M. Gulistan and S. Kadry and M. Azhar",

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journal = "Malaysian Journal of Mathematical Sciences",

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AU - Gulistan, M.

AU - Kadry, S.

AU - Azhar, M.

PY - 2021/5

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N2 - In this paper we characterize the intra-regular AG-groupoids in terms of generalized cubic set. We show that the concept of (Formula presented)-cubic ideals and of (Formula presented)-cubic interior ideals in an intra-regular AG-groupoid S with left identity coincides. We additionally demonstrate that an AG-groupoid S with left identity is intra-regular if and only if (Formula presented)-cubic quasi ideals (Formula presented) and (Formula presented) of S.

AB - In this paper we characterize the intra-regular AG-groupoids in terms of generalized cubic set. We show that the concept of (Formula presented)-cubic ideals and of (Formula presented)-cubic interior ideals in an intra-regular AG-groupoid S with left identity coincides. We additionally demonstrate that an AG-groupoid S with left identity is intra-regular if and only if (Formula presented)-cubic quasi ideals (Formula presented) and (Formula presented) of S.

KW - AG-groupoids

KW - cubic sets

KW - generalized cubic ideals

KW - generalized sub AG-groupoids

KW - intra-regular AG-groupoids

UR - https://www.scopus.com/pages/publications/85107681200

M3 - Article

AN - SCOPUS:85107681200

SN - 1823-8343

VL - 15

SP - 217

EP - 241

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

IS - 2

ER -

A New View of Intra-Regular AG-Groupoids in Terms of Generalized Cubic Ideals

Abstract

Keywords

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