International Journal of Science , Engineering and Management (IJSEM)

Monthly Journal for Science , Engineering and Management

Volume3,April 2018,

Topic : Normality in Idempotent Commutative š¯›¤-Semi group

Authors: S. Suguna || D. Radha

Abstract:In this paper, a normality in an idempotent commutative š¯›¤-semigroup is defined. A notion of left (right) normal, left (right) quasi-normal, regular, normal, left (right) semi-normal, left (right) semi-regular, in a normal idempotent commutativeš¯›¤- semigroup S are defined. Any left (right) normal is left (right) quasi-normal in an idempotent commutative š¯›¤-semigroup and vice versa. Also, it is regular if and only if it is normal and the same statement is proved with respect to semi-regular and semi-normal substructure. Any quasi-normal is also semi-regular as well as semi-normal and also the converse in an idempotent commutative š¯›¤-semigroup. In a commutative idempotent š¯›¤-semigroup, left regularity implies both left and right normality..

Keywords: š¯›¤-semigroup, idempotent, commutative, left and right regular, left and right normal, left and right quasi-normal, left and right semi-normal, left and right semi-regular.

Download Paper

DOI: 01.1617/vol5/iss4/pid54613

Related Articles

Calculation of the Temperature Distribution and Thermal Deflection in a Thin Clamped Circular Plate

Authors: Nitin Chandel || Pallavi Zungare,Sapana P. Dubey

Doi : 01.1617/vol4/iss3/pid81547

Volume2 ,March 2018.

The Hurdle of Program Outcomes Attainment and the Aid of Mathematical Approach

Authors: Sapana P. Dubey ||

Doi : 01.1617/vol4/iss3/pid62190

Volume2 ,March 2018.

Operations Research Technique for Merging Manpower in Industries for Optimization

Authors: Govind Shay Sharrma || Dr.Sapna Shrimali

Doi : 01.1617/vol4/iss5/pid06147

Volume2 ,May 2018.

Peristaltic Flow of a Conducting Newtonian Fluid in an Inclined Channel under The Effects of Hall Current

Authors: Dr.Gangavathi.P || Dr.M. V. Subba Reddy, Dr.Jyothi.S , Yogeswara reddy. P

Doi : 01.1617/vol4/iss5/pid54396

Volume2 ,May 2018.

Modelling and analysis of Geom/GI/1/K Queue With Finite Number of Vacations

Authors: K . Sikdar || K . Anitha

Doi : 01.1617/vol4/iss6/pid13586

Volume2 ,June 2018.

Some Results on rational functions with Prescribed Poles

Authors: Ajaz Wani ||

Doi : 01.1617/vol4/iss7/pid49268

Volume2 ,July 2018.

On potentially graphical sequences

Authors: Bilal Chat ||

Doi : 01.1617/vol4/iss7/pid35486

Volume2 ,July 2018.

The Isotropic and Anisotropic Stellar Masses for a Charged Matter

Authors: Jefta M. Sunzu || B. Prabhakar Reddy

Doi : 01.1617/vol4/iss9/pid56703

Volume2 ,September 2018.

Subclass of Harmonic Univalent Functions Associated With the Differential Operator

Authors: R.B. Sharma || B. Ravindar

Doi : 01.1617/vol4/iss11/pid07926

Volume2 ,November 2018.


Editor Image

Dr.Muhammad Ishtiaq,
Mirpur University of
Science & Technology,
Mirpur, Azad Kasmir.

View more


ISSN(Online): 2456-1304

Google Scholar Profile

Thomson Reuters ID : q-6288-2016.
ORCiD Research ID : 0000-0001-9540-6799

All Issues


Copy-right Form Paper Template


Journal Code : IJSEM
Electronic ISSN : 2456-1304
Impact Factor : 2.7
Frequency : Monthly
Contact :

IFERP Other Journals



Social Media