单项代数的诱导代数

Algebras Induced from Monomial Algebras

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摘要本文在单项代数中基于维数树的概念引入了整体和有限整体维数树以及维数代数的概念,应用这些概念进而给出了计算单项代数同调维的更有效的组合算法. This paper aims to introduce to a monomial algebra some new notions-global and finite global dimension trees and the dimension algebra,based upon dimension trees,leading to more efficient algorithms to compute the homological dimensions of monomial algebras.

作者时洪波 SHI Hongbo(Department of Mathematics,Nanjing University of Finance and Economics,Nanjing,Jiangsu,210046,P.R.China)

机构地区南京财经大学数学系

出处《数学进展》 CSCD 北大核心 2020年第4期418-428,共11页 Advances in Mathematics（China）

基金 Nanjing University of Finance and Economics(Nos.SHBXL10001,300301022)。

关键词极小投射分解投射维 Topdown 维数树整体维数树 minimal projective resolution projective dimension Topdown dimension tree global dimension tree

分类号 O153.3 [理学—基础数学]

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参考文献1

1Hong Bo SHI.Graph Representation of Projective Resolutions[J].Acta Mathematica Sinica,English Series,2011,27(3):555-566. 被引量：5

二级参考文献10

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共引文献4

1周洪涛.诺特赋值环上Grbner基的性质[J].数学杂志,2012,32(4):681-685.
2Hong Bo SHI.Homological Dimensions of the Extension Algebras of Monomial Algebras[J].Acta Mathematica Sinica,English Series,2015,31(4):675-694.
3徐海龙.带有有序基的向量空间中的Sharp vector及其应用[J].吉林师范大学学报（自然科学版）,2015,36(4):81-83.
4时洪波.单项代数中的循环（英文）[J].数学进展,2019,48(6):761-765.

1时洪波.单项代数中的循环（英文）[J].数学进展,2019,48(6):761-765.
2王文卿,刘涵,谢国,刘伟.改进空间细节提取策略的分量替换遥感图像融合方法[J].计算机应用,2019,39(12):3650-3658. 被引量：2
3KuoRay MAO,Qian ZHANG,Yongji XUE,Nefratiri WEEKS.Toward a socio-political approach to water management: successes and limitations of IWRM programs in rural northwestern China[J].Frontiers of Earth Science,2020,14(2):268-285. 被引量：3

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单项代数的诱导代数

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