We describe the properties of the almost split sequence containing projective module as the first term and the middle term.

本文刻划了包含投射模的几乎可裂序列，给出以投射模为首项和中间项的几乎可裂序列的特性。

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This Paper gives and proves the dual module of a projective module over aright hereditary and right perfect ring is stil projective.

本文给出并证明了右遗传、右完备环上投射模的对偶模仍然是投射模。

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These results will take an important part in studying fractional ring (module), localization method and projective geometry.

这些结果无疑对更进一步研究分式环(模)及局部化方法，特别是投射几何代数的研究大有裨益。

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This peper introduces the concept of direct-projective covers, and prove that a ring R is left perfect if and only if every left R-module(flat left R-module) has a direct-projective cover;

本文引入直投射覆盖的概念，证明了环R为左完全环当且仅当每一个左R-模（平坦左R-模）具有直投射覆盖；

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This peper introduces the concept of direct-projective covers, and prove that a ring R is left perfect if and only if every left R-module(flat left R-module) has a direct-projective cover;

本文引入直投射覆盖的概念，证明了环R为左完全环当且仅当每一个左R-模（平坦左R-模）具有直投射覆盖；

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