Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-05-16T18:26:15.420Z Has data issue: false hasContentIssue false
  • English
  • Français

Semiprime semigroup rings and a problem of J. Weissglass

Published online by Cambridge University Press:  18 May 2009

Mark L. Teply
Mark L. Teply
Affiliation:
University of Florida, Gainesville, Florida 32611
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.

If R is a ring and S is a semigroup, the corresponding semigroup ring is denoted by R[S]. A ring is semiprime if it has no nonzero nilpotent ideals. A semigroup S is a semilattice P of semigroups Sα if there exists a homomorphism φ of S onto the semilattice P such that Sα = αφ−1 for each α ∈ P.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 1 , January 1980 , pp. 131 - 134
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. (Providence, R. I., 1961).Google Scholar
2.Petrich, M., Introduction to semigroups (Merrill, Columbus, 1973).Google Scholar
3.Teply, M. L., Turman, E. G., and Quesada, A., On semisimple semigroup rings, Proc. Amer. Math. Soc. (to appear).Google Scholar
4.Weissglass, J., Semigroup rings and semilattice sums of rings, Proc. Amer. Math. Soc. 39 (1973), 471–478.CrossRefGoogle Scholar