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PS-property of Malcev-Neumann rings

ZHAO Ren-yu   

  1. College of Economic and Management, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: ZHAO Ren-yu

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Abstract: Let R be a ring,G a group and σ a map from G into the group of　 automorphisms of R. It was shown that if R is a reduced right　 the PS ring G is an ordered group and σ is weakly rigid,　 then the Malcev-Neumann ring R*((G)) is a right PS-ring. It was　 also shown that, under the same conditions, the sub-ring R*(G) of R*((G)) is also a right PS ring.

Key words: reduced ring , PS ring, Malcev-Neumann ring

CLC Number: 

  • O153.3
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