Structure of Regular Semigroups

P. Sreenivasulu Reddy

Structure of Regular Semigroups

P. Sreenivasulu Reddy * §

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§ Samara University

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Abstract

This paper concerned with basic concepts and some results on (idempotent) semigroup satisfying the identities of three variables. The motivation of taking three for the number of variables has come from the fact that many important identities on idempotent semigroups are written by three or fewer independent variables. We consider the semigroup satisfying the property abc = ac and prove that it is left semi-normal and right quasi-normal. Again an idempotent semigroup with an identity aba = ab and aba = ba (ab = a, ab = b) is always a semilattices and normal. An idempotent semigroup is normal if and only if it is both left quasi-normal and right quasi-normal. If a semigroup is rectangular then it is left and right semiregular.

References

8 Cites in Article

Reference Format

1. A Clifford,G Preston (1961). The algebraic theory of semigroups. Math.surveys, 7
2. David,Mclean idempotent semigroups. Amer.math.monthly, 61, 110-113.
3. J Howie (1976). An introduction to semigroup theory. An introduction to semigroup theory
4. Miyuki Yamada,Naoki Kimura (1958). Note on idempotent semigroups, II. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 34(2), 110.
5. Naoki,Kimura (1957). The structure of idempotent semigroups(1). Proc.Japan.Acad, 33, 642.
6. Naoki,Kimura (1957). Note on idempotent semigroups I. Proc. Japan Acad, 33, 642.
7. Naoki Kimura (1958). Note on idempotent semigroups, III. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 34(2), 113.
8. Naoki Kimura (1958). Note on idempotent semigroups, IV, Identities of three variables. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 34(3), 121-123.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

P. Sreenivasulu Reddy. 2015. "Structure of Regular Semigroups". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F3).

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GJSFR Volume 15 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 18B40

Submission ReceivedFebruary 17, 2015
Peer Review Double Blind
Handling Editor
Accepted March 14, 2015
Published May 4, 2015

Version of record

v1.2

Issue date

May 4, 2015

Language

English

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Article Matrices

Total Score: 72

Country: Ethiopia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: P. Sreenivasulu Reddy, Mulugeta Dawud (PhD/Dr. count: 0)

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Publish Date: 2015 03, Fri

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Total Downloads: 149

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