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.

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The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.

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Randomly adopted 1000 students from 6 country middle schools and 4 country elementary schools, and get 813 available subjects. We can find that: the percentage of Left-behind children is the largest in the whole children, especially Left-behind children who have only one parent; and mentally healthy situations of Left-behind children are poorer than those who are not, the poorest are children who are looked after by compeers or even no rearings; the situations of children who have been Left-behind children also are not so good, there are significant differences mentally healthy between them and those who have not been, while anxiety scores are only a little lower. And there are differences in sex, grade, quarter, single or not and years parents being out among those who are Left-behind children. There are differences of parenting styles among different styles of children caring. Totally speaking, the scores on positive parenting styles of no left-behind children(such as warmth of father and mother) are higher than those who are and who have been left-behind children, but the scores are obviously lower on negative parenting styles such as punishment from father or intervening punishment from mother. The regression equation of anxiety scores on left-behind children set by parenting styles also depends on children caring styles. Positive parenting behaviors of parents and caring people have positive influences on mentally healthy of children, for instance, some supporting and mood warmth., while some negative behaviors such as rejection have negative influences.

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Neat! The right knob on the Kenwood acts as a joy stick, with left/right jogs acting to change tracks, and up changing the playlist.

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ACA = anterior communicating artery; BA = basilar artery; LACA = left anterior cerebral artery; LCCA = left common carotid artery; LECA = left external carotid artery; LICA = left internal carotid artery; LMCA = left middle cerebral artery; LPCA = left posterior cerebral artery; LSA = left subclaian artery; LA = left ertebral artery; RACA = right anterior cerebral artery; RCCA = right common carotid artery; RECA = right external carotid artery; RICA = right internal carotid artery; RMCA = right middle cerebral artery; RPCA = right posterior cerebral artery; RSA = right subclaian artery; RA = right ertebral artery.

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