quiver tree
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In particular, we compute Hochschild homology and cohomology groups of infinitedimensional path algebras and some of their quotient algebras, and we prove that for a general monomial algebra (not necessary finite-dimensional), all Hochschild cohomology groups of positive degrees vanish if and only if its Gabriel quiver is a finite tree.
特别地,我们计算了无限维路代数以及某些商代数的Hochschild同调群和上同调群,而且给出了一般单项代数的各正次Hochschild上同调群为零的充分必要条件,即它的Gabriel箭图是有限树。
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Arid, broiling environment, let life flinch, but, here still has a kind of arboreous and castiron ground to growing, because live without other tree in desert, these tree often are chopped to fall by native, draw out quiver of empty make it, so they are called quiver tree.
干旱、酷热的环境,让生命望而却步,但是,这里仍有一种树木不屈地生长着,因为沙漠里没有别的树木生存,这些树木就经常被土著人砍下,掏空做成箭袋,所以它们被称为箭袋树。
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Now that no one else was at home, Cinderella went to her mother's grave beneath the hazel tree, and cried out: Shake and quiver, little tree, Throw gold and silver down to me.
现在,家里的人都走了,只留下灰姑娘孤伶伶地一个人悲伤地坐在榛树下哭泣:&榛树啊!请你帮帮我,请你摇一摇,为我抖落金银礼服一整套。&
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Now that no one else was at home, Cinderella went to her mother's grave beneath the hazel tree, and cried out: Shake and quiver, little tree, Throw gold and silver down to me.
现在,家里的人都走了,只留下灰姑娘孤伶伶地一个人悲伤地坐在榛树下哭泣:榛树啊!
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The next day when the festival began anew, and her parents and her stepsisters had gone again, Cinderella went to the hazel tree and said: Shake and quiver, little tree, Throw gold and silver down to me.
灰姑娘的两个姐妹听到这个消息后非常高兴,因为她们都有一双很漂亮的脚,她们认为自己穿上那只舞鞋是毫无疑问的。
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