论文标题
注射信封和平盖之间的二元性
Duality between injective envelopes and flat covers
论文作者
论文摘要
我们在诺瑟（Noetherian）环上的注射信封和平盖之间建立了双重性。这种二元性的一种情况表明，当且仅当它的Matlis Dual是平面盖时，形态性是一种注入式信封。我们还表明，如果我们以这种双重性交换了注射信封和平盖，那么一般来说，这两者都不是正确的。
We establish a duality between injective envelopes and flat covers over a commutative Noetherian ring. One case of this duality states that a morphism is an injective envelope, if and only if its Matlis dual is a flat cover. We also show that if we swap injective envelopes and flat covers in this duality, neither implication is true in general.
