Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-22T20:41:51.700Z Has data issue: false hasContentIssue false
  • English
  • Français

Unit-regular orthodox semigroups

Published online by Cambridge University Press:  18 May 2009

R. B. McFadden
R. B. McFadden
Affiliation:
Northern Illinois University, Dekalb, IL. 60115.
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.

Unit-regular rings were introduced by Ehrlich [4]. They arose in the search for conditions on a regular ring that are weaker than the ACC, DCC, or finite Goldie dimension, which with von Neumann regularity imply semisimplicity. An account of unit-regular rings, together with a good bibliography, is given by Goodearl [5].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 25 , Issue 2 , July 1984 , pp. 229 - 240
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984

References

REFERENCES

1.Blyth, T. S. and McFadden, R., Unit orthodox semigroups, Glasgow Math. J. 24 (1983), 39–42.CrossRefGoogle Scholar
2.Chen, S. Y. and Hsieh, H. C., Factorizable inverse semigroups, Semigroup Forum 8 (1974), 283–297.CrossRefGoogle Scholar
3.D'Alarcao, H., Factorizable as a finiteness condition, Semigroup Forum 20 (1980), 281–282.CrossRefGoogle Scholar
4.Ehrlich, G., Unit-regular rings, Portugal. Math., 27 (1968), 209–212.Google Scholar
5.Goodearl, K. R., Von Neumann regular rings (Pitman, 1979).Google Scholar
6.McAlister, D. B., Some covering and embedding theorems for inverse semigroups, J. Austral. Math. Soc. Ser. A 22 (1976), 188–211.CrossRefGoogle Scholar
7.Meakin, J. C., Congruences on orthodox semigroups, J. Austral. Math. Soc. 12 (1971), 323–341.CrossRefGoogle Scholar
8.Nambooripad, K. S. S., Structure of regular semigroups. I, Mem. Amer. Math. Soc. 22 (1979), Number 224.Google Scholar
9.Tirasupa, Y., Factorizable transformation semigroups, Semigroup Forum 18 (1979), 15–20.CrossRefGoogle Scholar