Skip to main content
×
Home
    • Aa
    • Aa

Morita equivalence for semigroups

  • S. Talwar (a1)
Abstract
Abstract

In this paper we shall extend the classical theory of Morita equivalence to semigroups with local units. We shall use the concept of a Morita context to rediscover the Rees theorem and to characterise completely 0-simple and regular bisimple semigroups.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Morita equivalence for semigroups
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Morita equivalence for semigroups
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Morita equivalence for semigroups
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1] G. D. Abrams (1983), ‘Morita equivalence for rings with local units’, Comm. Algebra, 11, 801837.

[3] F. W. Anderson and K. R. Fuller (1974), Rings and categories of modules, Graduate Texts in Mathematics 13 (Springer, Berlin).

[6] J. M. Barga and E. G-Rodeja F (1980), ‘Morita equivalence of monoids’, Semigroup Forum 19, 101106.

[7] K. Byleen , J. Meakin and F. Pastijn (1978), ‘The fundamental four spiral semigroup’, J. Algebra 54, 626.

[11] U. Knauer (1972), ‘Projectivity of acts and morita equivalence of monoids’, Semigroup Forum 3, 359370.

[12] U. Knauer and P. Normak (1990), ‘Mortita duality of monoids’, Semigroup Forum 40, 3957.

[13] B. Mitchell (1965), Theory of categories (Academic Press, London).

[14] K. Morita (1961), ‘Category-isomorphism and endomorphism rings of modules’, Trans. Amer. Math. Soc. 103, 451469.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords:

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 98 *
Loading metrics...

Abstract views

Total abstract views: 41 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.