A Note on Semilattice Decompositions of Epigroups

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A Note on Semilattice Decompositions of Epigroups

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Abstract

The purpose of this paper is to study epigroups admitting a decomposition into a semilattice of σ n -simple semigroups. We give further remark on semilattice decompositions of epigroups and characterize them by using some relations, ideals on/of S and certain special elements in S.

References

9 Cites in Article
  1. M Putcha (1973). Semilattice decompositions of semigroups.
  2. T Tamura (1972). On Putcha's theorem concerning semilattice of Archimedean semigroups.
  3. Mohan Putcha (1974). Minimal Sequences in Semigroups.
  4. M Ciric,S Bogdanovic (1996). Semilattice decompositions of semigroups.
  5. S Bogdanovic,M Ciric,Z Popovic (2000). Semilattice decompositions of semigroups revisited.
  6. Mohan Putcha (1973). Semigroups in which a power of each element lies in a subgroup.
  7. Lev Shevrin,Epigroups (2005). Epigroups.
  8. Z Popovic,S Bogdanovic,M Ciric (2004). A note on semilattice decompositions of completely regular semigroups.
  9. J Howie (1995). Fundamentals of Semigroup Theory.

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

Dr. Jing-Guo, Dr. Jing-Guo. 2012. "A Note on Semilattice Decompositions of Epigroups". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F9).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
MSC(2000) 20M10
Version of record

v1.2

Issue date
August 7, 2012

Language
English
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A Note on Semilattice Decompositions of Epigroups

Dr. Jing-Guo
Dr. Jing-Guo Linyi University
Dr. Jing-Guo
Dr. Jing-Guo