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FINITENESS: 作品数：25被引量：26H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关机构：广东外语外贸大学更多>>; 相关期刊：《Frontiers of Mathematics in China》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金北京市自然科学基金福建省自然科学基金更多>>

Strongly One-Sided(b,c)-Inverses in Rings: 《Algebra Colloquium》2024年第4期549-558,共10页Cang Wu Jianlong Chen; National Natural Science Foundation of China(Nos.12171083,11871145 and 12071070);Qing Lan Project of Jiangsu Province,and the Postgraduate Research and Practice Innovation Program of Jiangsu Province(No.KYCX21_0078).; We give some new characterizations of strongly one-sided(b,c)-invertibility of elements in rings,and establish the relations between one-sided(b,c)-inverses and strongly one-sided(b,c)-inverses.When b=c,Kaplansky's th...; 关键词：(b c)-inverse strongly left(b c)-inverse regularity (b c)-finiteness Dedekind-finite ring

Bounding Topology via Geometry,A-Simple Fundamental Groups: 《Communications in Mathematical Research》2020年第4期489-505,共17页Xiaochun Rong Xuchao Yao; the author Rong at Capital Normal University,which was partially supported by NSFC Grant 11821101,Beijing Natural Science Foundation Z19003,and a research fund from Capital Normal University.; We call a group A-simple,if it has no non-trivial normal abelian subgroup.We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.; 关键词：A-simple fundamental group collapsing with bounded sectional curvature finiteness of fundamental groups and diffeomorphic types.

A generalized π2-diffeomorphism finiteness theorem被引量：1: 《Frontiers of Mathematics in China》2020年第2期399-418,共20页Xiaochun RONG Xuchao YAO; Theπ2-diffeomorphism finiteness result of F.Fang-X.Rong and A.Petrunin-W.Tuschmann(independently)asserts that the diffeomorphic types of compact n-manifolds M with vanishing first and second homotopy groups can be bo...; 关键词：Collapsing with bounded sectional curvature diffeomorphism finiteness vanishing second homotopy group

Degeneracy and Finiteness Theorems for Meromorphic Mappings in Several Complex Variables: 《Chinese Annals of Mathematics,Series B》2019年第2期251-272,共22页Si Duc QUANG; supported by the Vietnam National Foundation for Science and Technology Development(No.101.04-2018.01); The author proves that there are at most two meromorphic mappings of C^m into P^n(C)(n ≥ 2) sharing 2 n+ 2 hyperplanes in general position regardless of multiplicity,where all zeros with multiplicities more than cert...; 关键词：Second main theorem UNIQUENESS problem MEROMORPHIC mapping MULTIPLICITY

Property of Almost Cohen-Macaulay over Extension Modules: 《Algebra Colloquium》2017年第3期509-518,共10页Samaneh Tabejamaat Amir Mafi Khadijeh Ahmadi Amoli; Let （R, m） be a Cohen-Macaulay local ring of dimension d, C a canonical R-module and M an almost Cohen-Macaulay R-module of dimension n and of depth t. We prove that dim Extd-n R（M,C） = n and if n ≤ 3 then Extd-n...; 关键词：almost Cohen-Macaulay module Ext functor finiteness dimension

Maintain Vigilance at “Three Forgottens” in Higher Education: 《International Journal of Technology Management》2015年第5期69-71,共3页Ning WANG; Institutions of higher learning occupy an important position in the development of the society and also play a vital role. In China, the institutions of higher learning have played a due role around talent training, s...; 关键词：Institutions of Higher Learning Moral Ability Training Profound Learning the Finiteness in Social Services

Cofiniteness of Local Cohomology Modules: 《Algebra Colloquium》2014年第4期605-614,共10页Kamal Bahmanpour Reza Naghipour Monireh Sedghi; Let M be a non-zero finitely generated module over a commutative Noetherian local ring （R, m）. In this paper we consider when the local cohomology modules are finitely generated. It is shown that if t≥ 0 is an inte...; 关键词：cofinite modules cohomological finiteness dimension cominimax modules local cohomology minimax modules

Finiteness results for equifocal hypersurfaces in compact symmetric spaces被引量：3: 《Science China Mathematics》2014年第9期1975-1982,共8页GE JianQuan QIAN Chao; supported by National Natural Science Foundation of China(Grant Nos.11071018 and 11001016);the Specialized Research Fund for Doctoral Program of Higher Education(Grant No.20100003120003);the Program for Changjiang Scholars and Innovative Research Team in University; We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space.Moreover,if the symmetric space is of rank one,the result can ...; 关键词：equifocal hypersurface isoparametric hypersurface focal point FINITENESS

On the Finiteness Dimension of Local Cohomology Modules被引量：1: 《Algebra Colloquium》2014年第3期517-520,共4页Hero Saremi Amir Marl; Let R be a commutative Noetherian ring, α an ideal of R, and M a non-zero finitely generated R-module. Let t be a non-negative integer. In this paper, it is shown that dim Supp Hi a（M） ≤ 1 for all i 〈 t if and on...; 关键词：local cohomology modules cofinite modules finiteness dimension

Outer P（ρ,σ）-set’s Random Characteristic and Application: 《Chinese Quarterly Journal of Mathematics》2014年第2期298-306,共9页ZHA NG Huan-li WANG Dong-mei; Foundation item： Supported by the Basic and Frontier Technology Research Projects of Henan Province （132300410289）; Supported by the Natural Science Foundation of Fujian Province（2012D112）; Based on the conception of P(ρ,σ)-set(XP ˉFρ, XPFσ), this paper studied the relation between outer P(ρ,σ)-set and outer P-set: give outer P(ρ,σ)-set and outer P-set relation theorem, outer P(ρ,σ)-set and nu...; 关键词：P-set outer P(ρ σ)-set FINITENESS finite partition PROBABILITY

FINITENESS