Hostname: page-component-7bb8b95d7b-l4ctd Total loading time: 0 Render date: 2024-09-18T17:01:17.571Z Has data issue: false hasContentIssue false
  • English
  • Français

On a type of Matrix ring

Published online by Cambridge University Press:  17 April 2009

Maliwan Tunapan ,
Chitlada Somsup  and
Sarapee Chairat
Maliwan Tunapan
Affiliation:
Department of Mathematics, Mahidol University, Bangkok 10400, Thailand
Chitlada Somsup
Affiliation:
Department of Mathematics, Mahidol University, Bangkok 10400, Thailand
Sarapee Chairat
Affiliation:
Department of Mathematics, Mahidol University, Bangkok 10400, Thailand
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note we discuss a type of matrix ring that has nice properties concerning the injectivity and quasi-injectivity of one-sided ideals.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 65 - 68
Copyright
Copyright © Australian Mathematical Society 2006

References

Referenes

[1]Beidar, K.I., Fong, Y., Ke, W.-F. and Jain, S.K., ‘An example of a right q-ring’, Israel J. Math. 127 (2002), 303–316.CrossRefGoogle Scholar
[2]Dung, N.V., Huynh, D.V., Smith, P.F. and Wisbauer, R., Extending modules (Pitman, London, 1994).Google Scholar
[3]Huynh, D.V. and Rizvi, S.T., ‘Characterizing rings by a direct decomposition property of their modules’, J. Austral. Math. Soc. (to appear).Google Scholar
[4]Ivanov, G., ‘Non-local rings whose ideals are quasi-injective’, Bull. Austral. Math. Soc. 6 (1972), 45–52.CrossRefGoogle Scholar