On Semiprime Noetherian PI-Rings

• Chiba Katsuo

抄録

Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right Noetherian, (3) Let a, b be central regular elements of Q(R). Then the subring R + aR[b] of Q(R) is right Noetherian.

収録刊行物

• Mathematical Journal of Okayama University

  Mathematical Journal of Okayama University 42 (1), 55-60, 2000-01

  Department of Mathematics, Faculty of Science, Okayama University

詳細情報

• CRID: 1390290699601694464
• NII論文ID: 120002309832
• NII書誌ID: AA00723502
• ISSN: 00301566
• DOI: 10.18926/mjou/33283
• Web Site: https://ousar.lib.okayama-u.ac.jp/33283
• 本文言語コード: en
• データソース種別:
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  • IRDB
  • CiNii Articles