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1)  projective cover
投射盖
1.
We also discussed the pseudo-projective covers of some modules.
给出了伪投射模的另外一种等价定义,并对伪投射模的自同态环的Jacobson根做了讨论,还对伪投射盖做了某些探讨。
2)  pseudo-projective cover
伪投射盖
1.
We also discussed the pseudo-projective covers of some modules.
给出了伪投射模的另外一种等价定义,并对伪投射模的自同态环的Jacobson根做了讨论,还对伪投射盖做了某些探讨。
3)  M projective cover
M-投射复盖
4)  τ-torsion projective cover
τ-挠投射盖
1.
Introduce the corresponding concepts of cover and hull through Q gets the properties of τ-injective,τ-projective,τ-divisible and τ-codivisible,discuss the properties of τ-torsion injective hull, τ-torsion projective cover,τ-torsionfree divisible hull and τ-torsionfree codivisible cover, τ-injective hull E_τ(M) is characterized by using them.
讨论τ-挠内射包,τ-挠投射盖,τ-挠自由可除包和τ-挠自由余可除盖的性质,并利用它们刻画了τ-内射包Eτ(M)。
5)  direct-projective covers
直投射覆盖
1.
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;if and only if a direct limit of(finitely generated) quasi-projective R-modules is direct-projective.
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;当且仅当(有限生成)拟投射左R-模的直极限为直投射模。
6)  τ-weak projective cover
τ-弱投射盖
1.
In the paper, we describe when τ-weak projective modules are closed under taking homomorphic images, which is dual to τ-injective module; we also describe a distinguish theorem on τ-weak projective cover.
本文给出了与τ-内射模对偶的一类模,称为τ-弱投射模,关于商模封闭的条件;同时描述了τ-投射盖的概念,给出了关于τ-弱投射盖的一个判别定理。
补充资料:盖天盖地
【盖天盖地】
 (杂语)覆盖天地也。又曰普天普地。示自己意气满溢,磅礴于宇宙之意。宗门统要续集十六岩头全斋条所谓:“师云:若欲播扬大教,一一从自己胸襟流出将来,为我盖天盖地去”之类是也。
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