国家自然科学基金(11371178)

作品数：6被引量：8H指数：2
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模的有限表现系统和Lazard引理（英文）被引量：2
《浙江大学学报（理学版）》2018年第3期298-303,共6页张倩倩 郭锂 
Supported by the National Natural Science Foundation of China(11371177,11371178)
Lazard引理阐述了任意一个模都可以表示成有限表现模构成的正向系统的正向极限.本文通过推广Lazard引理中的(C,D)-子商系统,建立了研究Lazard引理中泛性质的一个框架.进一步证明了不同正向系统下的泛性质,提出了在一般意义下进一步研究...
关键词：有限表现模 正向极限 Lazard定理 
Rota-Baxter TD Algebra and Quinquedendriform Algebra被引量：3
《Algebra Colloquium》2017年第1期53-74,共22页Shuyun Zhou Li Guo 
This work is supported by the National Natural Science Foundation of China （Grant No. 11371178） and the National Science Foundation of US （Grant No. DMS 1001855）. Shuyun Zhou thanks the hospitality of Rutgers University at Newark during her visit in 2012-2013.
A dendriform algebra defined by Loday has two binary operations that give a two-part splitting of the associativity in the sense that their sum is associative. Sim- ilar dendriform type algebras with three-part and fo...
关键词：dendriform algebra Rota-Baxter algebra RBTD algebra free objects oper-ads rooted trees quinquedendriform algebra 
Free involutive Hom-semigroups and Hom-associative algebras被引量：3
《Frontiers of Mathematics in China》2016年第2期497-508,共12页Shanghua ZHENG Li GUO 
This work was supported by the National Natural Science Foundation of China （Grant No. 11371178） and the National Science Foundation of US （Grant No. DMS 1001855）.
We construct free Hom-semigroups when its unary operation is multiplicative and is an involution. Our method of construction is by bracketed words. As a consequence , we obtain free Horn-associative algebras generated...
关键词：Hom-semigroup Horn-algebra INVOLUTION free object bracketedwords 
Relative locations of operated semigroups subwords in free and Motzkin words
《Frontiers of Mathematics in China》2015年第5期1243-1261,共19页Shanghua ZHENG LI GUO 
Acknowledgements The authors thank the Kavli Institute for Theoretical Physics China and the Morningside Center for Mathematics in Beijing for their hospitality and support. This work was supported by the National Natural Science Foundation of China （Grant Nos. 11201201, 11371178）, the Fundamental Research Funds for the Central Universities （lzujbky-2013-8）, and the National Science Foundation of US （Grant No. DMS 1001855）.
Bracketed words are basic structures both in mathematics （such as Rota-Baxter algebras） and mathematical physics （such as rooted trees） where the locations of the substructures are important. In this paper, we giv...
关键词：Bracketed word relative location operated semigroup Motzkinword Motzkin path rooted tree 
主弱平坦系的一个推广
《西南大学学报（自然科学版）》2014年第10期98-102,共5页乔丽 
国家自然科学基金资助项目(11371178)
设S是幺半群,T是S的非空集合.通过T定义了T-主弱平坦系的概念,给出了这类S-系的性质刻画.所得结果推广了主弱平坦系的相关结论.
关键词：挠自由 主弱平坦 T 主弱平坦 
Totally compatible associative and Lie dialgebras,tridendriform algebras and PostLie algebras
《Science China Mathematics》2014年第2期259-273,共15页ZHANG Yong BAI ChengMing GUO Li 
supported by National Natural Science Foundation of China(Grant Nos.10920161,11271202,11221091 and 11371178);Specialized Research Fund for the Doctoral Program of Higher Education(Grant Nos.200800550015 and 20120031110022);National Science Foundation of USA(Grant No.DMS-1001855)
This paper studies the concepts of a totally compatible dialgebra and a totally compatible Lie dialgebra,defined to be a vector space with two binary operations that satisfy individual and mixed associativity conditio...
关键词：totally compatible algebra Rota-Baxter operator tridendriform algebra PostLie algebra 
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