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双边模

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Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到:一个左拟对偶双边模如果满足下列条件之一,则它将成为一个左对偶双边模:_sM是单内射的并且M_R是一个M-单内射kasch-模;M_R是一个M-单内射kasch-模并且对_sS的任意两个理想,有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2);_sM是单内射的且对M_R的任意两个子模,有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H,部分解决了半素问题。

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The basic concept of FOP can be summarized as to further optimize effective prescription according to the standard of curative effects and with the aid of modern science and technology and theories of traditional Chinese medicine.

其基本内涵可概括为:以确有疗效的中药复方为研究对象,以现代科学技术和传统中医药理论为技术支持,以该复方所治病证的药效响应为评价标准,以优化重组疗效更优的新复方为研究目的。

Ever since our world has been a world, native forests have been indiscriminately exploited by man.

自从我们的世界一直是世界原生森林被任意剥削人。

I don't… don't know. He's unconscious.

我不……我不知道他休克了。