Coefficient subrings of certain local rings with prime-power characteristic

Takao Sumiyama

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-12

Abstract:

If R is a local ring whose radical J ( R ) is nilpotent and R / J ( R ) is a commutative field which is algebraic over G F ( p ) , then R has at least one subring S such that S = ∪ i = 1 ∞ S i , where each S i , is isomorphic to a Galois ring and S / J ( S ) is naturally isomorphic to R / J ( R ) . Such subrings of R are mutually isomorphic, but not necessarily conjugate in R .

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:623908

DOI: 10.1155/S0161171295000573

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