The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies ...The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies Delvaux＇s main theorem in the case of smash products.展开更多
In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash produc...In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.展开更多
The new venture analysis is the foundation of venture development. In this paper, 14 venture prototypes are proposed based on the attributes of venture.Then, a new venture analysis method is discussed by the way of ma...The new venture analysis is the foundation of venture development. In this paper, 14 venture prototypes are proposed based on the attributes of venture.Then, a new venture analysis method is discussed by the way of matching the new venture with the corresponding prototype. Considering the fuzziness of human subjective grading, the L-R fuzzy numbers are used to express the variables and corresponding fuzzy algorithm are applied in analysis. At the end, an application example is applied to indicate the effectiveness of the method.展开更多
描述了中国木兰科木兰属一新种———红花玉兰(Magnolia wufengensisL.Y.Ma et L.R.W ang),并绘了模式图。本种的主要特点是:落叶乔木,花被片9,近相等,整个花被片内外为均匀的红色,叶柄较长,叶片下面沿主脉密被白色柔毛,这些特征与武当...描述了中国木兰科木兰属一新种———红花玉兰(Magnolia wufengensisL.Y.Ma et L.R.W ang),并绘了模式图。本种的主要特点是:落叶乔木,花被片9,近相等,整个花被片内外为均匀的红色,叶柄较长,叶片下面沿主脉密被白色柔毛,这些特征与武当木兰(M.sprengeriPamp.)和玉兰(M.denudataDesr.)存在明显区别。展开更多
对原产湖北五峰的红花玉兰新变种多瓣红花玉兰(Magnolia wufengensisvar.multitepalaL.Y.Ma et L.R.W ang)作了描述。新变种与红花玉兰原变种(M.wufengensisvar.wufengensis)花色相近,整个花被片内外均为红色,内面略淡。主要区别在于:...对原产湖北五峰的红花玉兰新变种多瓣红花玉兰(Magnolia wufengensisvar.multitepalaL.Y.Ma et L.R.W ang)作了描述。新变种与红花玉兰原变种(M.wufengensisvar.wufengensis)花色相近,整个花被片内外均为红色,内面略淡。主要区别在于:新变种花被片12、15、18、24;花被片阔倒卵状匙形、倒卵状匙形或窄倒卵状匙形;花色浓淡不同植株间有深红、红、浅红之差别;自然状态下可育,蓇葖果发育良好。展开更多
In this paper.the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces,weak Hardy spaces and Herz-type Hardy sp...In this paper.the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces,weak Hardy spaces and Herz-type Hardy spaces.展开更多
基金Supported by National Natural Science Foundation of China(10871170)Educational Minister Science Technology Key Foundation of China(10871170)College Special Research Doctoral Disciplines Point Fund of China(20100097110040)
基金Supported by the Educational Ministry Science Technique Research Key Foundation of China (108154)the National Natural Science Foundation of China (10871170)
文摘This paper gives a duality theorem for weak L-R smash products, which extends the duality theorem for weak smash products given by Nikshych.
基金Supported by the Ningbo Natural Science Foundation(2006A610089)
文摘The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies Delvaux＇s main theorem in the case of smash products.
基金Foundation item： Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology（09001303） Supported by the National Natural Science Foundation of China（11101128）
文摘In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.
基金Supported by the Fundamental Research Fund for the Central Uuiversities(KYZ201125)Grant for Young Teachers of College of Science,Nanjing Agricultural University(LXY20090101)
文摘The new venture analysis is the foundation of venture development. In this paper, 14 venture prototypes are proposed based on the attributes of venture.Then, a new venture analysis method is discussed by the way of matching the new venture with the corresponding prototype. Considering the fuzziness of human subjective grading, the L-R fuzzy numbers are used to express the variables and corresponding fuzzy algorithm are applied in analysis. At the end, an application example is applied to indicate the effectiveness of the method.
文摘描述了中国木兰科木兰属一新种———红花玉兰(Magnolia wufengensisL.Y.Ma et L.R.W ang),并绘了模式图。本种的主要特点是:落叶乔木,花被片9,近相等,整个花被片内外为均匀的红色,叶柄较长,叶片下面沿主脉密被白色柔毛,这些特征与武当木兰(M.sprengeriPamp.)和玉兰(M.denudataDesr.)存在明显区别。
基金The key research program of State Forestry Administration of China(2006-39)
文摘对原产湖北五峰的红花玉兰新变种多瓣红花玉兰(Magnolia wufengensisvar.multitepalaL.Y.Ma et L.R.W ang)作了描述。新变种与红花玉兰原变种(M.wufengensisvar.wufengensis)花色相近,整个花被片内外均为红色,内面略淡。主要区别在于:新变种花被片12、15、18、24;花被片阔倒卵状匙形、倒卵状匙形或窄倒卵状匙形;花色浓淡不同植株间有深红、红、浅红之差别;自然状态下可育,蓇葖果发育良好。
基金supported by NSF of China(Grant:19971010)DPFIHE of China(Grant:98002703)National 973 Project of China
文摘In this paper.the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces,weak Hardy spaces and Herz-type Hardy spaces.
