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GROUPOID: 作品数：26被引量：6H指数：2; 导出分析报告; 相关作者：方小春纪培胜李彬徐景云胡俊云更多>>; 相关机构：山东大学复旦大学同济大学中国青年政治学院更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Algebra Colloquium》《佳木斯大学学报（自然科学版）》更多>>; 相关基金：国家自然科学基金山东省自然科学基金更多>>

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

Continuous Orbit Equivalence of Semigroup Actions: 《Acta Mathematica Sinica,English Series》2024年第6期1581-1598,共18页Xiang Qi QIANG Cheng Jun HOU; Supported by the NSF of China(Grant No.12271469,11771379,11971419)。; We introduce notions of continuous orbit equivalence and its one-sided version for countable left Ore semigroup actions on compact spaces by surjective local homeomorphisms,and characterize them in terms of the corres...; 关键词：Semigroup action continuous one-sided orbit equivalence continuous orbit equivalence groupoid C^(∗)-algebras

Groupoid Approach to Ergodic Dynamical System of Commutative von Neumann Algebra: 《Advances in Pure Mathematics》2024年第3期167-184,共18页Nicholas O. Okeke Murphy E. Egwe; Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bound...; 关键词：Measure Groupoid Groupoid Equivalence Ergodic Action Convolution Algebra von Neumann Algebra Generalized Space

Orbifold Fundamental Group and Deck Translation Group: 《Chinese Quarterly Journal of Mathematics》2022年第2期147-161,共15页LIN Yi-wu; Supported by General Project of Science Research of Guangzhou(Grant No.2017070126);National Natural Science Foundation of China(Grant No.11226034).; In this paper, we define the notions of orbifold loop and orbifold road, with which, we reformulate the definition of orbifold fundamental group and deck translation group. We show that, for each orbifold, the orbifol...; 关键词：Groupoid presentation Orbifold loop Orbifold road Orbifold fundamental group Deck translation group

On C^(*)-algebras from homoclinic equivalences on subshifts of finite type: 《Science China Mathematics》2021年第4期747-762,共16页Chengjun Hou; supported by National Natural Science Foundation of China(Grant Nos.11771379,11271224 and 11371290)。; Let G be an infinite countable group and A be a finite set.IfΣ?A~G is a strongly irreducible subshift of finite type,we endow a locally compact and Hausdorff topology on the homoclinic equivalence relation■onΣand s...; 关键词：homoclinic equivalence relation groupoid C^(*)-algebra amenable group action entropy

U-Concordant Semigroups被引量：2: 《Algebra Colloquium》2018年第2期295-318,共24页Xueming Ren Yanhui Wang K.P. Shum; This research was supported by the NSFC （Grant No. 11471255, 11501331）. The second author was supported by the Shandong Province Natural Science Foundation （Grant No. BS2015SF002）, SDUST Research Fund （No. 2014TDJH102）, and Joint Innovative Center for Safe and Effective Mining Technology and Equipment of Coal Resources, Shandong Province.; We introduce the relations Lu and Ru with respect to a subset U of idempotents. Based on Lv and Rv, we define a new class of semigroups which we name U-concordant semigroups. Our purpose is to describe U-concordant se...; 关键词：regular semigroup regular biordered set RBS generalized category RBS generalized groupoid concordant semigroup

Spectral Invariant Subalgebras of Reduced Groupoid C^＊-algebras被引量：2: 《Acta Mathematica Sinica,English Series》2017年第4期526-544,共19页Cheng Jun HOU; Supported by the NNSF of China(Grant Nos.11271224 and 11371290); We introduce the notion of property(RD) for a locally compact, Hausdorff and r-discrete groupoid G, and show that the set S~l(G) of rapidly decreasing functions on G with respect to a continuous length function l is a...; 关键词：Groupoid C*-algebra property(RD) spectral invariance

Zappa-Szép Products of Semigroups: 《Applied Mathematics》2015年第6期1047-1068,共22页Suha Wazzan; The internal Zappa-Szép products emerge when a semigroup has the property that every element has a unique decomposition as a product of elements from two given subsemigroups. The external version constructed from act...; 关键词：Inverse SEMIGROUPS Groups SEMILATTICE Rectangular Band Semidiret REGULAR ENLARGEMENT INDUCTIVE GROUPOID

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

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