Invariant ideals of commutative rings
Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 131-134

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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.
Snider, Robert L. Invariant ideals of commutative rings. Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 131-134. doi: 10.1017/S0017089500009654
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[1] 1.McConnell, J. C. and Robson, J. C., Noncommutative Noetherian rings (John Wiley, 1987). Google Scholar

[2] 2.Roseblade, J. E., Prime ideals in group rings of polycyclic groups, Proc. London Math. Soc. (3) 36 (1978), 385–477. Google Scholar | DOI

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