云南高校图书馆联盟文献共享服务平台- KOSZUL

KOSZUL: 作品数：29被引量：24H指数：3; 导出分析报告; 相关领域：理学电气工程更多>>; 相关作者：吕家凤毛雪峰郑立景包科维全志勇更多>>; 相关机构：浙江师范大学湖南师范大学上海大学复旦大学更多>>; 相关期刊：《中山大学学报（自然科学版）（中英文）》《Algebra Colloquium》《浙江师范大学学报（自然科学版）》《湖南师范大学社会科学学报》更多>>; 相关基金：国家自然科学基金浙江省教育厅科研计划中国博士后科学基金湖南省研究生科研创新项目更多>>

Hessian流形上两个特殊泛函的Euler-Lagrange方程: 《理论数学》2024年第6期289-299,共11页徐从; 本文主要研究Hessian几何上Koszul形式和泛函变分问题。首先给出Hessian几何中Hessian结构、Koszul形式、Hessian曲率概念及相关性质,然后在Hessian流形上计算了Hessian曲率Q、第二Koszul形式β及Tr(β)的变分,最后计算了两个特殊泛函的...; 关键词：Hessian流形 Koszul形式 EULER-LAGRANGE方程变分

Clifford Deformations of Koszul Frobenius Algebras and Noncommutative Quadrics被引量：1: 《Algebra Colloquium》2024年第1期63-82,共20页Jiwei He Yu Ye; supported by ZJNSF(LY19A010011);NSFC(11971141,12371017);supported by NSFC(11971449,12131015,12371042).; A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...; 关键词：Koszul Frobenius algebra Clifford deformation noncommutative quadric hypersurface maximal Cohen-Macaulay module

Operad As^(LC)■Dend的Koszul性: 《中山大学学报（自然科学版）（中英文）》2023年第6期135-142,共8页樊馨蔓高兴张兆泰; Natural Science Foundation of Gansu Province(22JR11RA138,20JR5RA249);National Natural Science Foundation of China(12071191);Funds for Innovative Fundamental Research Group Project of Gansu Province(23JRRA684)。; 用重写系统的方法证明了operad As^(LC)■Dend是Koszul的,其中As^(LC)■Dend是结合operad As的线性相容operad和叶型operad Dend的Manin黑方积.; 关键词：OPERAD Koszul性线性相容operad 叶型operad Manin黑方积

同调光滑连通上链DG代数的一个注记: 《数学学报（中文版）》2018年第5期715-728,共14页毛雪峰谢建峰; 国家自然科学基金资助项目(11001056); 本文给出了有关同调光滑连通上链微分分次（简称DG）代数的两个重要结论.具体地说,当A是同调光滑连通上链DG代数且其同调分次代数H（A）是诺特分次代数时,证明Dfg（A）中的任意Koszul DG A-模都是紧致的.另外,当A是Kozul连通上链DG代数...; 关键词：同调光滑DG代数 KOSZUL DG代数紧致DG模 DG自由class

Path A∞ algebras of positively graded quivers: 《Frontiers of Mathematics in China》2018年第1期173-185,共13页Hao SU; Let A be a path A∞-algebra over a positively graded quiver Q. We prove that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a DG algebra with trivial differentia...; 关键词：A∞-algebras Koszul dual DG-algebras

Trivial extension of Koszul algebras: 《Frontiers of Mathematics in China》2017年第5期1045-1056,共12页Zhi CHENG; The author is very grateful to the referees for helpful comments. He thanks Professor Yu Ye for numerous discussion and suggestions. This work was supported in part by the National Natural Science Foundation of China （Grant No. 11471017）, Doctoral Research Foundation, and the Research Culture Foundation of Anhui Normal University （No. 2014xmpyll）.; Let A be a Koszul algebra, and let M be a graded A-bimodule. We prove that the trivial extension algebra of A by M is also a Koszul algebra whenever M is Koszul as a left A-module. Applications and examples are also p...; 关键词：Koszul algebra Koszul module trivial extension

Koszulity and Koszul modules of dual extension algebras: 《Frontiers of Mathematics in China》2017年第3期583-596,共14页Huanhuan LI Yunge XU; The first author is and encouragement. The authors thank grateful to Professor Yu Ye for helpful discussion the anonymous referees for their very helpful suggestions to improve this paper. This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11571341, 11371186）.; Let A and B be algebras, and let T be the dual extension algebra of A and B. We provide a different method to prove that T is Koszul if and only if both A and B are Koszul. Furthermore, we prove that an algebra is Kos...; 关键词：Dual extension linearly presented Koszul algebra Koszul module

一类特殊的Koszul Calabi-Yau DG代数: 《数学学报（中文版）》2017年第3期475-504,共30页毛雪峰何继位; 国家自然科学基金资助项目(11571239;11001056); 假设一个连通上链DG代数A的基分次代数A~#或者同调分次代数H(A)是由一次元素x,y生成的代数k/(xy+yx).本文证明A是Koszul Calabi-Yau DG代数.; 关键词：KOSZUL CALABI-YAU 微分分次代数

Koszul property of a class of graded algebras with nonpure resolutions: 《Frontiers of Mathematics in China》2016年第4期985-1002,共18页Jiafeng LU Junling ZHENG; This work was supported by the National Natural Science Foundation of China （Grant Nos. 11571316, 11001245） and the Natural Science Foundation of Zhejiang Province （Grant No. LY16A010003）.; Given any integers a,b,c, and d with a 〉 1, c ≥ 0, b ≥ a＋c, and d ≥ b ＋ c, the notion of （a, b, c, d）-Koszul algebra is introduced, which is another class of standard graded algebras with ＂nonpure＂ resolutio...; 关键词：Koszul algebras d-Koszul algebras Artin-Schelter regular algebras （a b c d）-Koszul algebras Yoneda algebras

扭平凡扩张与表示维数被引量：1: 《数学进展》2014年第4期512-520,共9页郑立景; 国家自然科学基金(No.11271119);湖南省研究生科研创新项目(No.CX2012B199); 设k是代数闭域,∧是k上基本有限维连通Koszul自入射代数.本文首先证明:如果∧满足有限生成(FG)假设,那么存在∧的k-代数自同构σ0使得关于∧-双模D∧^(σ0)的扭平凡扩张T(∧^(σ0))=∧×D∧^(σ0)亦满足FG假设.由此得到,在∧满足FG假设...; 关键词：表示维数有限生成假设扭平凡扩张 Koszul自入射代数

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