Skip to main content
SpringerLink
Log in

On embedding a semigroup in a group

  • General / Article
  • Published:
Resonance Aims and scope Submit manuscript

Abstract

In this article, we explain the idea of Rees [1] to utilize the inverses of partial one-one functions on a cancellative monoid S to embed S into a group.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Suggested Reading

  1. David Rees, On the group of a set of partial transformations, J. London Math. Soc., Vol.22, pp.282–284, 1947.

    Google Scholar 

  2. G B Preston, Personal reminiscences of the early history of semigroups, http://www-history.mcs.st-and.ac.uk/Extras Preston_semigroups. html.

  3. E S Ljapin, Semigroups, American Mathematical Society, Providence, Rhodeisland, 1974.

    Google Scholar 

  4. The Perils of Taking Shortcuts: Embedding Semigroups in the 1930s. http://www.maths.manchester.ac.uk/~mkambites/events/nbsan/nbsan9_hollings.pdf

  5. John C Meakin, Groups and Semigroups, www.math.unl.edu/jmeakin2/groups

  6. P Dubriel, Surles Problems d’immersion et la théorie des modules, C R Acad.Sci.Paris, Vol.216, pp.625–627, 1943.

    Google Scholar 

  7. Anya Katsevich and Piotr Mikusinski, http://arxiv.org/pdf/1302.1856.pdf

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Vijaya Engineering College Ammapalem, Khammam, 507305, Andhra Pradesh, India

    J. Madhusudana Rao

  2. Department of Mathematics, R V R and J C College of Engineering Chowdavaram, Guntur, 522019, Andhra Pradesh, India

    A. V. Ramakrishna

Authors
  1. J. Madhusudana Rao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Ramakrishna
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Madhusudana Rao.

Additional information

J Madhusudana Rao is a student of mathematics who loves teaching.

A V Ramakrishna is a teacher of mathematics who loves studying.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rao, J.M., Ramakrishna, A.V. On embedding a semigroup in a group. Reson 19, 740–752 (2014). https://doi.org/10.1007/s12045-014-0080-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12045-014-0080-4

Keywords

Search

Navigation