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Let R be a ring. R is called right AP-injective if, for any a ∈ R, there exists a left ideal of R such that lr(a) = Ra (?) Xa. We extend this notion to modules. A right .R-module M with 5 = End(MR) is called quasi AP-injective if, for any s ∈ S, there exists a left ideal Xs of S such that ls(Ker(s)) = Ss (?) Xs. In this paper, we give some characterizations and properties of quasi AP-injective modules which generalize results of Page and Zhou. 相似文献
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醇体系中新型晶体磷酸锆的合成和表征赵玉娥,宋天佑,徐家宁,徐如人(吉林大学化学系,长春,130023)关键词磷酸锆,合成,表征自1964年首次合成磷酸锆晶体[1]以来,人们又合成出多种磷酸锆晶体[2~4]。但在非水体系中合成磷酸锆的工作尚未见报道。本... 相似文献
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Let F be a field of characteristic 0, Mn(F) the full matrix algebra over F, t the subalgebra of Mn(F) consisting of all upper triangular matrices. Any subalgebra of Mn(F) containing t is called a parabolic subalgebra of Mn(F). Let P be a parabolic subalgebra of Mn(F). A map φ on P is said to satisfy derivability if φ(x·y) = φ(x)·y+x·φ(y) for all x,y ∈ P, where φ is not necessarily linear. Note that a map satisfying derivability on P is not necessarily a derivation on P. In this paper, we prove that a map φ on P satisfies derivability if and only if φ is a sum of an inner derivation and an additive quasi-derivation on P. In particular, any derivation of parabolic subalgebras of Mn(F) is an inner derivation. 相似文献
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长脂肪碳链卟啉的合成及其LB膜的制备和气敏性质研究 总被引:2,自引:0,他引:2
1983年RuaudelTeixier[’j首先合成了两类具有长脂肪碳链的双亲性叶咐,其成膜性表明,它们可以形成良好的LB膜.M6hwald‘’修合成了不对称可成股叶琳,并对其膜结构和分子间作用进行了研究.Lecomte“‘等用钴叶琳和咪吐等衍生物以混合交替形式来模拟血红蛋白的吸氧及放氧过程,发现它可作为氧的载体.Tredgold[“报道了用铜、钻、镍、锰叶琳和无金属叶琳的LB膜元件对NO。、H。S和CO进行检测,发现铜叶琳对NO。有很高的敏感性,而对其它气体则无反应,显示出良好的选择性.本文在合成6种长脂肪碳链的双亲性叶琳化合物的基础上,… 相似文献
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关于拟AP内射模的注记 总被引:2,自引:0,他引:2
Let R be a ring.A right R-module M with S=End(MR)is called aquasi AP-injective module,if,for any s ∈ S,there exists a left ideal X_s of S such thatl_s(ker s)=SsX_s.Let M be a quasi AP-injective module which is a self-generator.We show that for such a module,if S is semiprime,then every maximal kernel of S isa direct summand of M.Furthermore,if ker(a_1)ker(a_2a_1)ker(a_3a_2a_1)satisfy the ascending conditions for any sequence a_1,a_2,a_3,...∈ S,then S is rightperfect.In this paper,we give a series of results which extend and generalize resultson AP-injective rings. 相似文献
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环的几种内射性的关系 总被引:4,自引:0,他引:4
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. 相似文献
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The definition of AP-injectivity wnil-injectivity and almost nil n-injectivity motivates us to generalize the injectivity to almost The aim of this paper is to investigate characterizations and properties of almost wnil-injective rings and almost nil n-injective rings. Various results are developed, and many conclusions extend known results. 相似文献