J4 ›› 2011, Vol. 46 ›› Issue (12): 44-45.

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Minimal injective cogenerator of principal ideal domain

ZHANG Kui, TANG Yi-li, GE Mao-rong*   

  1. School of Mathematical Science,  Anhui University, Hefei 230039, Anhui, China
  • Received:2011-03-28 Online:2011-12-20 Published:2011-12-24

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Abstract:

 Let R be a Principal Ideal Domain. The concrete structure of minimal injective cogenerator of RM is obtained: R is a minimal injective cogenerator of RM if R is a field; K／R is a minimal injective cogenerator of RM (K is the fractional field of R) if R is not a field.

Key words: principal ideal domain; minimal injective cogenerator

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