Descent of minimal overrings of integrally closed domains to fixed rings

• Autores: David E. Dobbs, Jay Shapiro
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 1, 2007, págs. 59-82
• Idioma: inglés
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• Resumen

  • Let G be a group acting via ring automorphisms on a commutative unital ring R. If G is finite, then the embedding RG ® R is universally going-down, with generalizations to certain classes of locally finite actions by infinite groups. If R is an integrally closed integral domain with a minimal overring and G is finite such that the order of G is a unit of R, then RG has a minimal overring which is the G-fixed ring of the Kaplansky transform of some radical ideal of R.