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Invariant ideals of commutative rings

Published online by Cambridge University Press:  18 May 2009

Robert L. Snider
Robert L. Snider
Affiliation:
Department of MathematicsVirginia Polytechnic Institute and State University Blacksburg, Virginia 24061-0123
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Let R be a commutative Noetherian ring and G a group of elements acting on R as automorphisms. In this note, we are concerned with the structure of the lattice of invariant ideals of R. In particular we shall compute the Krull dimension of this lattice. Our group is an arbitrary group. There are none of the usual assumptions of some sort of algebraic action.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 1 , January 1993 , pp. 131 - 134
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

REFERENCES

1.McConnell, J. C. and Robson, J. C., Noncommutative Noetherian rings (John Wiley, 1987).Google Scholar
2.Roseblade, J. E., Prime ideals in group rings of polycyclic groups, Proc. London Math. Soc. (3) 36 (1978), 385–477.CrossRefGoogle Scholar