About: Cohen ring

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In algebra, a Cohen ring is a field or a complete discrete valuation ring of mixed characteristic whose maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings.

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  • In algebra, a Cohen ring is a field or a complete discrete valuation ring of mixed characteristic whose maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings. (en)
  • 代数学において、コーエン環 (Cohen ring) は体または極大イデアルが p で生成される の完備離散付値環である。コーエン環は完備ネーター局所環に対するにおいて使われる。 (ja)
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  • In algebra, a Cohen ring is a field or a complete discrete valuation ring of mixed characteristic whose maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings. (en)
  • 代数学において、コーエン環 (Cohen ring) は体または極大イデアルが p で生成される の完備離散付値環である。コーエン環は完備ネーター局所環に対するにおいて使われる。 (ja)
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  • Cohen ring (en)
  • コーエン環 (ja)
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