Skip to main content
SpringerLink
Log in

A Note on Prehomomorphisms

  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract.

We show that if G is a free group with basis X then any map θ from X to an inverse monoid S extends to a monoid prehomomorphism ψ: G\rightarrow S. As an application we give an affirmative answer to a problem of M. Petrich. 1980 Mathematics Subject Classification: Primary 20M10.

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

Author information

Authors and Affiliations

  1. Ramanujan Institute for Advanced Study in Mathematics University of Madras Chennai - 600005, India , IN

    M. Loganathan

Authors
  1. M. Loganathan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

September 14, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loganathan, M. A Note on Prehomomorphisms. Semigroup Forum 62, 482–484 (2001). https://doi.org/10.1007/s002330010015

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002330010015

Keywords

Search

Navigation