Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals

N. Kausar; M. Munir; M. Gulzar; G. M. Addis

doi:10.31489/2020M4/101-112

Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals

N. Kausar^*, M. Munir, M. Gulzar, G. M. Addis

^*Corresponding author for this work

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

1 Scopus citations

Abstract

In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we characterized the two important classes of these AG-groupoids, namely the regular and intragregular non-associative AG-groupoids. Our aim is also to encourage the research and the maturity of the associative algebraic structures by studying a class of non-associative and non-commutative algebraic structures called the ordered AG-groupoid.

Original language	English
Pages (from-to)	101-112
Number of pages	12
Journal	Bulletin of the Karaganda University. Mathematics Series
Volume	100
Issue number	4
DOIs	https://doi.org/10.31489/2020M4/101-112
State	Published - 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 E.A.Buketov Karaganda State University Publish House. All rights reserved.

Keywords

Ordered AG-groupoids
left (right, interior, quasi-, bi-, generalized bi-) ideals
regular (intraregular) ordered AG-groupoids

ASJC Scopus subject areas

General Mathematics

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10.31489/2020M4/101-112

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title = "Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals",

abstract = "In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we characterized the two important classes of these AG-groupoids, namely the regular and intragregular non-associative AG-groupoids. Our aim is also to encourage the research and the maturity of the associative algebraic structures by studying a class of non-associative and non-commutative algebraic structures called the ordered AG-groupoid.",

keywords = "Ordered AG-groupoids, left (right, interior, quasi-, bi-, generalized bi-) ideals, regular (intraregular) ordered AG-groupoids",

author = "N. Kausar and M. Munir and M. Gulzar and Addis, \{G. M.\}",

year = "2020",

doi = "10.31489/2020M4/101-112",

language = "English",

volume = "100",

pages = "101--112",

journal = "Bulletin of the Karaganda University. Mathematics Series",

issn = "2518-7929",

publisher = "E.A. Buketov Karaganda University Publish house",

number = "4",

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TY - JOUR

T1 - Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals

AU - Kausar, N.

AU - Munir, M.

AU - Gulzar, M.

AU - Addis, G. M.

PY - 2020

Y1 - 2020

N2 - In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we characterized the two important classes of these AG-groupoids, namely the regular and intragregular non-associative AG-groupoids. Our aim is also to encourage the research and the maturity of the associative algebraic structures by studying a class of non-associative and non-commutative algebraic structures called the ordered AG-groupoid.

AB - In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we characterized the two important classes of these AG-groupoids, namely the regular and intragregular non-associative AG-groupoids. Our aim is also to encourage the research and the maturity of the associative algebraic structures by studying a class of non-associative and non-commutative algebraic structures called the ordered AG-groupoid.

KW - Ordered AG-groupoids

KW - left (right, interior, quasi-, bi-, generalized bi-) ideals

KW - regular (intraregular) ordered AG-groupoids

UR - https://www.scopus.com/pages/publications/85153747980

U2 - 10.31489/2020M4/101-112

DO - 10.31489/2020M4/101-112

M3 - Article

AN - SCOPUS:85153747980

SN - 2518-7929

VL - 100

SP - 101

EP - 112

JO - Bulletin of the Karaganda University. Mathematics Series

JF - Bulletin of the Karaganda University. Mathematics Series

IS - 4

ER -

Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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