Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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INJECTIVE COVERS OVER COMMUTATIVE NOETHERIAN RINGS WITH GLOBAL DIMENSION AT MOST TWO

  • Enochs, Edgar-E. (Department Of Mathematics, University Of Kentuckey) ;
  • Kim, Hae-Sik (Department Of Mathematics, Kyungpook National University) ;
  • Song, Yeong-Moo (Department Of Mathematics Education, Sunchon National University)
  • Published : 2003.02.01
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Abstract

In [3］, Del Valle, Enochs and Martinez studied flat envelopes over rings and they showed that over rings as in the title these are very well behaved. If we replace flat with injective and envelope with the dual notion of a cover we then have the injective covers. In this article we show that these injective covers over the commutative noetherian rings with global dimension at most 2 have properties analogous to those of the flat envelopes over these rings.

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References

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