Skip to main content
×
Home
    • Aa
    • Aa

Products of idempotents in algebraic monoids

  • Mohan S. Putcha (a1)
Abstract
Abstract

Let M be a reductive algebraic monoid with zero and unit group G. We obtain a description of the submonoid generated by the idempotents of M. In particular, we find necessary and sufficient conditions for M\G to be idempotent generated.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@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.

      Products of idempotents in algebraic monoids
      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.

      Products of idempotents in algebraic monoids
      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.

      Products of idempotents in algebraic monoids
      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.

[5]T. E. Hall , ‘On regular semigroups’, J. Algebra 24 (1973), 124.

[7]M. S. Putcha , ‘Algebraic monoids with a dense group of units’, Semigroup Forum 28 (1984), 365370.

[8]M. S. Putcha , ‘Regular linear algebraic monoids’, Trans. Amer. Math. Soc. 290 (1985), 615626.

[10]M. S. Putcha , ‘Algebraic monoids whose nonunits are products of idempotents’, Proc. Amer. Math. Soc. 103 (1998), 3840.

[11]M. S. Putcha , ‘Conjugacy classes and nilpotent variety of a reductive monoid’, Canadian J. Math. 50 (1998), 829844.

[12]M. S. Putcha and L. E. Renner , ‘The system of idempotents and the lattice of J-classes of reductive algebraic monoids’, J. Algebra 116 (1988), 385399.

[13]L. E. Renner , ‘Completely regular algebraic monoids’, J. Pure Appl. Algebra 59 (1989), 291298.

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: