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Injective covers over commutative Noetherian rings with global dimension at most two
Edgar E. Enochs,김해식,송영무 대한수학회 2003 대한수학회보 Vol.40 No.1
In cite{emd}, Del Valle, Enochs and Mart'{i}nez studied flatenvelopes over rings and they showed that over rings as in thetitle these are very well behaved. If we replace flat withinjective and envelope with the dual notion of a cover we thenhave the injective covers. In this article we show that theseinjective covers over the commutative noetherian rings with globaldimension at most 2 have properties analogous to those of the flatenvelopes over these rings.
INJECTIVE COVERS OVER COMMUTATIVE NOETHERIAN RINGS WITH GLOBAL DIMENSION AT MOST TWO
Enochs, Edgar-E.,Kim, Hae-Sik,Song, Yeong-Moo Korean Mathematical Society 2003 대한수학회보 Vol.40 No.1
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.