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COALGEBRA: 作品数：39被引量：32H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：王栓宏董丽红赵晓凡王圣祥郭广泉更多>>; 相关机构：东南大学河南师范大学南京晓庄学院更多>>; 相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Journal of Mathematical Study》更多>>; 相关基金：国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>

Super-Shuffle Product and Cut-Box Coproduct on (0,1)-Matrices: 《Open Journal of Applied Sciences》2023年第8期1326-1335,共10页Sifan Song Huilan Li; In 2014, Vargas first defined a super-shuffle product and a cut-box coproduct on permutations. In 2020, Aval, Bergeron and Machacek introduced the super-shuffle product and the cut-box coproduct on labeled simple grap...; 关键词：(0 1)-Matrix Super-Shuffle Product Cut-Box Coproduct Graded Algebra Graded Coalgebra

Algebra and Coalgebra on Posets: 《Open Journal of Applied Sciences》2022年第7期1232-1242,共11页Rongrong Yuan Huilan Li; A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. ...; 关键词：Conjunction Product Unshuffle Coproduct POSET Graded Free

Gorenstein Hereditary Coalgebras: 《Journal of Mathematical Study》2022年第2期216-228,共13页Yexuan Li Hailou Yao; National Natural Science Foundation of China(Grant No.12071120).; Let C be a coalgebra.We prove that a right C-comodule is an n-cosyzygy if and only if it is a Gorenstein n-cosyzygy.We study the Gorenstein global dimension of coalgebras and the class of Gorenstein hereditary coalgeb...; 关键词：Cosyzygy comodule Gorenstein injective comodule hereditary coalgebra Goren-stein hereditary coalgebra

Dorroh extensions of algebras and coalgebras: 《Frontiers of Mathematics in China》2021年第3期857-888,共32页Lan YOU Huixiang CHEN; This work was supported by the National Natural Science Foundation of China(Grant Nos.12071412,11971418);Graduate Student Scientific Research Innovation Projects in Jiangsu Province(No.XKYCX18_036).; We study Dorroh extensions of algebras and Dorroh extensions of coalgebras.Their structures are described.Some properties of these extensions are presented.We also introduce the finite duals of algebras and modules wh...; 关键词：Dorroh extension of algebra Dorroh extension of coalgebra Dorroh pair of coalgebras finite dual

Fundamentals of quasigroup Hopf group-coalgebras: 《Journal of Southeast University(English Edition)》2021年第1期114-118,共5页Zhang Senlin Wang Shuanhong; The National Natural Science Foundation of China(No.11371088,11571173,11871144);the Natural Science Foundation of Jiangsu Province(No.BK20171348).; A large class of algebras(possibly nonassociative)with group-coalgebraic structures,called quasigroup Hopf group-coalgebras,is introduced and studied.Quasigroup Hopf group-coalgebras provide a unifying framework for t...; 关键词：Hopf quasigroup group-coalgebra quasigroup Hopf group-coalgebra convolution algebra

Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type: 《Acta Mathematica Sinica,English Series》2019年第10期1696-1714,共19页Guang Ai SONG Yu Cai SU Xiao Qing YUE; Supported by NSF grant of China and NSF grant of Shandong Province(Grant Nos.11431010,11671056,ZR2013AL013 and ZR2014AL001); In the present paper, we investigate the dual Lie coalgebras of the centerless W(2,2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2...; 关键词：W(2 2) ALGEBRA LIE BIALGEBRA LIE COALGEBRA DUAL LIE BIALGEBRA maximal good subspace

Co-Poisson structures on polynomial Hopf algebras被引量：1: 《Science China Mathematics》2018年第5期813-830,共18页Qi Lou Quanshui Wu; supported by National Natural Science Foundation of China (Grant Nos. 11331006 and 11171067); The Hopf dual H~? of any Poisson Hopf algebra H is proved to be a co-Poisson Hopf algebra provided H is noetherian. Without noetherian assumption, unlike it is claimed in literature, the statement does not hold. It is...; 关键词：Poisson algebra co-Poisson coalgebra Poisson Hopf algebra co-Poisson Hopf algebra

On Lie 2-bialgebras: 《Communications in Mathematical Research》2018年第1期54-64,共11页Qiao Yu Zhao Jia; The NSF(11301317,11571211) of China; A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2-coalgebra structure. In this paper, we give another equivalent description for Lie2-bialgebras by using the structure maps and compatibility condit...; 关键词：big bracket Lie 2-algebra Lie 2-coalgebra Lie 2-bialgebra

Diagrams of Hopf algebras with the Chevalley property: 《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期367-378,共12页FAN Zhong-ping LU Di-ming YU Xiao-lan; Supported by the National Natural Science Foundation of China(11271319,11301126); In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf sub- algebra. For a non-cosemisimple Hopf algebra ...; 关键词：Hopf algebra COALGEBRA coradical Nichols algebra pointed Chevalley property

On Gorenstein coalgebras: 《Frontiers of Mathematics in China》2016年第4期845-867,共23页Xuerong FU Hailou YAO; The authers sincerely thank the referees and Prof. Dingguo Wang for the careful reading and helpful suggestions in improving the paper. This work was supported by the National Natural Science Foundation of China （Grant No. 11271119） and the Natural Science Foundation of Beijing （Grant No. 1122002）.; We investigate the comodule representation category over the Morita-Takeuchi context coalgebra F and study the Gorensteinness of F. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-...; 关键词：Gorenstein coalgebra Gorenstein injective comodule Gabriel quiver

COALGEBRA