Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorph...Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorphisms and the view-point of gluing of seeds. As an application, for(rooted) cluster algebras, we completely classify rooted cluster subalgebras and characterize rooted cluster quotient algebras in detail. Also,we build the relationship between the categorification of a rooted cluster algebra and that of its rooted cluster subalgebras. Note that cluster algebras of geometric type studied here are of the sign-skew-symmetric case.展开更多
探讨油脂在亚临界水中水解反应的影响因素和反应动力学。以橡胶籽油为原料,在间歇式高温高压反应釜中进行水解反应,试验结果表明,在水与橡胶籽油体积比为3∶1(摩尔比为162∶1),反应温度280℃,压力15 MPa,反应时间40 m in时,橡胶籽油水...探讨油脂在亚临界水中水解反应的影响因素和反应动力学。以橡胶籽油为原料,在间歇式高温高压反应釜中进行水解反应,试验结果表明,在水与橡胶籽油体积比为3∶1(摩尔比为162∶1),反应温度280℃,压力15 MPa,反应时间40 m in时,橡胶籽油水解为脂肪酸的转化率可达96.2%;动力学计算表明,橡胶籽油在亚临界水中水解反应级数为1.4,反应活化能为43.5 kJ/mol。该研究为超临界二步法制备生物柴油的水解反应的动力学提供了理论基础。展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 11671350 and 11571173)
文摘Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorphisms and the view-point of gluing of seeds. As an application, for(rooted) cluster algebras, we completely classify rooted cluster subalgebras and characterize rooted cluster quotient algebras in detail. Also,we build the relationship between the categorification of a rooted cluster algebra and that of its rooted cluster subalgebras. Note that cluster algebras of geometric type studied here are of the sign-skew-symmetric case.
文摘探讨油脂在亚临界水中水解反应的影响因素和反应动力学。以橡胶籽油为原料,在间歇式高温高压反应釜中进行水解反应,试验结果表明,在水与橡胶籽油体积比为3∶1(摩尔比为162∶1),反应温度280℃,压力15 MPa,反应时间40 m in时,橡胶籽油水解为脂肪酸的转化率可达96.2%;动力学计算表明,橡胶籽油在亚临界水中水解反应级数为1.4,反应活化能为43.5 kJ/mol。该研究为超临界二步法制备生物柴油的水解反应的动力学提供了理论基础。
