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 simple-injective 的翻译结果: 查询用时：0.006秒
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 simple-injective 单-内射环(1)
 单-内射环
 It is known that R is right IP-injective if and only if R = ip(R_R) and R is right simple-injective if and only if {α ∈ R : αR is simple} (?) 众所周知,R为右IP-内射环当且仅当R=ip(R_R),R为右单-内射环当且仅当{a∈R：aR is simple)(?) 短句来源
 “simple-injective”译为未确定词的双语例句
 Some relations about the generalizations of self-injective ring: P-injective ring, GP-injective ring, AP-injective ring, simple-injective ring and n-injective ring are studied. 我们研究了关于广义自内射环(P-内射环,GP-内射环,AP-内射环,单内射环,n-内射环)的一些关系. 短句来源 Chapter 3 studies some relations about the generaliza-tions of self-injective ring, we study equivalent conditions about self-injective ring, P-injective ring, GP-injective ring, AP-injective ring, simple-injective ring. 在第三章中，主要考虑了几类广义内射环之间的关系，我们研究了内射环，P-内射环，GP-内射环，AP-内射环以及单内射环等价的充分条件。 短句来源 It is proved that every left(or right)perfect right simple-injective left pseudo-coherent ring is a QF ring,This partially answered the question proposed in reference [8]. 文中证明了单边完全环如果满足右单内射左伪凝聚则为QF环,部分回答了文献[8]中的一个问题。 短句来源
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 (c) it is simple. (c)简单 ; 短句来源 It is simple to synthesizeindustrially. 工业上合成简单。 短句来源 On Simple P-Function 关于素p-函数 短句来源 ON P INJECTIVE RINGS 关于P-内射环 短句来源 On L-injective class 关于L-内射类 短句来源

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 in this paper, we have introduced two concepts: injective radical andsubinjective module, and established some elementary relations between subinjective,semi-simple injective and simple injectve modules. We have also established some relations between subprojective,semi-simple projective and simple projective modules. Let R be an associative ring with identity. Then it follows that there exists a non-zero subprojective module over R if and only if there exists a non-zero simple projecticve module over R .In... in this paper, we have introduced two concepts: injective radical andsubinjective module, and established some elementary relations between subinjective,semi-simple injective and simple injectve modules. We have also established some relations between subprojective,semi-simple projective and simple projective modules. Let R be an associative ring with identity. Then it follows that there exists a non-zero subprojective module over R if and only if there exists a non-zero simple projecticve module over R .In the same way, it follows that there exists a non-zero subinjective module over R if and only if there exists a non-zero subinjective module over R if and only if there exists a non-zero simple injective module over R.Using the short exact sequences, we have considered some properties of the subprojective modules and the subinjective modules. We have investigated the structures of the subprojective modules and the subinjective modules with the finite cogeneration.In the examples, it shows that there exists a subprojective module which is not a projective module.and there exists a projective module which is not a subprojective module. In example 3, it follows that it is not necessarily true that every subinjective module is an injective module. In fact, there also exists all injective module which is not a subinjective module. 通过引进模的内射根，给出亚内射模的定义．用亚投射模和亚内射模，给出任意环Ｒ中非０单投射和非０单内射模的存在性的等价该划．同时我们考虑了亚投射模和亚内射模的一些性质，讨论了亚内射模和亚投射模的结构．最后我们举出例子说明：亚投射极未必是投射模，亚内射模未必是内射模，并且投射模也未必是亚投射模，内射模也未必是亚内射模 We prove that a right Duo ring R has a right Artinian (Noetherian) classical quotient ring if and only if this right Duo ring R is a right Σ(Δ) ring. And we show that every simple injective module is a Σ injective module. 证明了右Ｄｕｏ 环有右Ａｒｔｉｎｉａｎ （Ｎｏｅｔｈｅｒｉａｎ）经典分式环当且仅当该环是一个右Δ（Σ）－环，从而推广了Ｉ． Ｂｅｃｋ 和Ｃ． Ｆａｉｔｈ 在交换环上的著名的定理；证明了在右Ｄｕｏ 环上所有单右内射模都是Σ－内射模． Some relations about the generalizations of self-injective ring: P-injective ring, GP-injective ring, AP-injective ring, simple-injective ring and n-injective ring are studied. 我们研究了关于广义自内射环(P-内射环,GP-内射环,AP-内射环,单内射环,n-内射环)的一些关系. << 更多相关文摘
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