GROUPOIDS

作品数:9被引量:1H指数:1
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相关领域:理学更多>>
相关机构:首都师范大学北京理工大学更多>>
相关期刊:《Applied Mathematics》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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Multiplicative forms on Poisson groupoids
《Science China Mathematics》2025年第1期169-206,共38页Zhuo Chen Honglei Lang Zhangju Liu 
supported by National Natural Science Foundation of China(Grant No.12071241);the National Key Research and Development Program of China(Grant No.2021YFA1002000).
First,we prove a decomposition formula for any multiplicative differential form on a Lie groupoid G.Next,we prove that if G is a Poisson Lie groupoid,then the spaceΩ_(mult)·(G)of multiplicative forms on G has a diff...
关键词:multiplicative form Poisson groupoid Lie algebra crossed module characteristic pair 
Differential Groupoids
《Journal of Mathematics and System Science》2015年第1期39-45,共7页Malgorzata Burzyflska Zbigniew Pastemak-Winiarski 
The basic properties and some examples of the differential groupoids are studied.
关键词:Differential space groupoid. 
Causal Groupoid Symmetries and Big Data
《Applied Mathematics》2014年第21期3489-3510,共22页Sergio Pissanetzky 
The big problem of Big Data is the lack of a machine learning process that scales and finds meaningful features. Humans fill in for the insufficient automation, but the complexity of the tasks outpaces the human mind...
关键词:Big Data Combinatorial Algebra GROUPOIDS Machine Learning Scaling TRAVELING SALESMAN 
Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid
《Journal of Mathematical Research with Applications》2014年第6期631-639,共9页Ravi Kumar BANDARU K.P.SHUM 
We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient con...
关键词:implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals 
An Analogy of Clifford Decomposition Theorem for Abel-Grassmann Groupoids
《Algebra Colloquium》2014年第2期347-353,共7页Madad Khan Saima Anis 
Let S be an inverse AG-groupoid (Abel-Grassmann groupoid) and define a relation γ on S by aγb if and only if there exist some positive integers n and m such that bm∈ (Sa)S and an∈ (Sb)S. We prove that S/γ i...
关键词:inverse AG**-groupoid invertive law medial law 
Causal Groupoid Symmetries
《Applied Mathematics》2014年第4期628-641,共14页Sergio Pissanetzky 
Proposed here is a new framework for the analysis of complex systems as a non-explicitly programmed mathematical hierarchy of subsystems using only the fundamental principle of causality, the mathematics of groupoid s...
关键词:HIERARCHIES GROUPOIDS Symmetry CAUSALITY Intelligence Adaptation Emergence 
Groupoids,Discrete Mechanics,and Discrete Variation
《Communications in Theoretical Physics》2008年第9期545-550,共6页GUO Jia-Feng JIA Xiao-Yu WU Ke ZHAO Wei-Zhong 
National Key Basic Research Project of China under Grant No.2004CB318000;National Natural Science Foundation of China under Grant Nos.10375038 and 90403018
After introducing some of the basic definitions and results from the theory of groupoid and Lie algebroid,we investigate the discrete Lagrangian mechanics from the viewpoint of groupoid theory and give the connection ...
关键词:GROUPOIDS Lie algebroids discrete field discrete variational principle 
Orderly Algorithm to Enumerate Central Groupoids and Their Graphs被引量:1
《Acta Mathematica Sinica,English Series》2007年第2期249-264,共16页Tim BOYKETT 
supported in part by Project P15691 from the Austrian Federal FWF,the national science finding body,as well as by several ongoing grants from Stadt Linz,Land Obersterreich and the Austrian Federal BKA.Kunst
A graph has the unique path property UPPn if there is a unique path of length n between any ordered pair of nodes. This paper reiterates Royle and MacKay's technique for constructing orderly algorithms. We wish to u...
关键词:orderly algorithms paths in directed graphs ENUMERATION 
Square Integrable Representation of Groupoids
《Acta Mathematica Sinica,English Series》2007年第2期327-340,共14页H.AMIRI M.LASHKARIZADEH BAMI 
Supported by the office of Graduate Studies and the Center of Excellence for Mathematics of the University of Isfahan
A notion of an irreducible representation, as well as of a square integrable representation on an arbitrary locally compact groupoid, is introduced. A generalization of a version of Schur's lemma on a locally compact...
关键词:topological groupoid irreducible representation square integrable representation 
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