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ISOMORPHISMS: 作品数：47被引量：37H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Journal of Applied Mathematics and Physics》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金中国博士后科学基金俄罗斯基础研究基金更多>>

Eventually homological isomorphisms and Gorenstein projective modules: 《Science China Mathematics》2024年第8期1719-1734,共16页Yongyun Qin Dawei Shen; supported by National Natural Science Foundation of China(Grant Nos.12061060 and 11801141);Scientific and Technological Planning Project of Yunnan Province(Grant No.202305AC160005);Scientific and Technological Innovation Team of Yunnan Province(Grant No.2020CXTD25)。; We prove that a certain eventually homological isomorphism between module categories induces triangle equivalences between their singularity categories,Gorenstein defect categories and stable categories of Gorenstein ...; 关键词：singularity categories Gorenstein defect categories Gorenstein projective modules AuslanderReiten conjecture Gorenstein symmetry conjecture eventually homological isomorphisms

C^(*)-Isomorphisms Associated with Two Projections on a Hilbert C^(*)-Module: 《Chinese Annals of Mathematics,Series B》2023年第3期325-344,共20页Chunhong FU Qingxiang XU Guanjie YAN; supported by the National Natural Science Foundation of China(No.11971136);the Science and Technology Commission of Shanghai Municipality(No.18590745200)。; Motivated by two norm equations used to characterize the Friedrichs angle,this paper studies C^(*)-isomorphisms associated with two projections by introducing the matched triple and the semi-harmonious pair of project...; 关键词：Hilbert C^(*)-module PROJECTION Orthogonal complementarity C^(*)-Isomorphism

Isomorphisms of Cubic Cayley Graphs on Dihedral Groups and Sparse Circulant Matrices: 《Acta Mathematica Sinica,English Series》2023年第4期618-632,共15页Istvan KOVACS; Supported by the Slovenian Research Agency (research program P1-0285 and research projects N1-0062,J1-9108,J1-1695,N1-0140,J1-2451,N1-0208 and J1-3001)。; We show that,up to isomorphism,there is a unique non-CI connected cubic Cayley graph on the dihedral group of order 2n for each even number n≥4.This answers in the negative the question of Li whether all connected cu...; 关键词：Cayley graph graph isomorphism dihedral group circulant matrix

Skew Incidence Rings and the Isomorphism Problem: 《Algebra Colloquium》2022年第3期419-426,共8页Érica Z.Fornaroli; Let X be a finite partially ordered set,R an associative unital ring andσan endomorphism of R.We describe some properties of the skew incidence ring I(X,R,σ)such as invertible elements,idempotents,the Jacobson radic...; 关键词：units IDEMPOTENTS Jacobson radical CENTER ISOMORPHISMS

On Separable Schur Rings over Abelian Groups: 《Algebra Colloquium》2021年第3期431-440,共10页Grigory Ryabov; Supported by the Russian Foundation for Basic Research(project 18-01-00752).; A finite group is said to be weakly separable if every algebraic isomorphism between two 5-rings over this group is induced by a combinatorial isomorphism.We prove that every abelian weakly separable group only belong...; 关键词：ISOMORPHISMS Schur rings abelian groups

On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean: 《Journal of Applied Mathematics and Physics》2021年第4期577-583,共7页Hongjie Chen Lei Li Zheng Shi Liguang Wang; We consider maps on positive definite cones of von Neumann algebras preserving unitarily invariant norms of the spectral geometric means. The main results concern Jordan *-isomorphisms between C*-algebras, an...; 关键词：Spectral Geometric Mean Positive Cone Jordan *-Isomorphisms Unitarily Invariant Norm

ISOMORPHISMS OF VARIABLE HARDY SPACES ASSOCIATED WITH SCHRÖDINGER OPERATORS: 《Acta Mathematica Scientia》2021年第1期39-66,共28页Junqiang ZHANG Dachun YANG; supported by the National Natural Science Foundation of China(11801555 and 11971058);the Fundamental Research Funds for the Central Universities(2020YQLX02);supported by the National Natural Science Foundation of China(11971058,11761131002 and 11671185)。; Let L:=-△+V be the Schrodinger operator on R^(n)with n≥3,where V is a non-negative potential satisfying△^(-1)(V)∈L^(∞)(R^(n)).Let w be an L-harmonic function,determined by V,satisfying that there exists a positiv...; 关键词：variable Hardy space Schrödinger operator L-harmonic function ISOMORPHISM ATOM

Isomorphisms and Automorphisms of Generalized Semi-Cayley Graphs: 《Algebra Colloquium》2019年第2期321-328,共8页Jing Chen Xu Yang Xiaomin Zhu; In this paper we propose the concept of generalized semi-Cayley graphs, which is a combination of semi-Cayley graphs and generalized Cayley graphs. We study the isomorphisms and automorphisms of generalized semi-Cayle...; 关键词：CAYLEY GRAPH generalized semi-Cayley GRAPH isomorphism AUTOMORPHISM group

Ring Isomorphisms and Complete Preservers of Fixed Points for Multipliers: 《Journal of Mathematical Research with Applications》2019年第1期89-100,共12页Ting ZHANG Jinchuan HOU; Supported by the National Natural Science Foundation of China(Grant No.11671294); Let R_1 and R_2 be two rings with unit I. We give some characterizations of ring homomorphisms and ring isomorphisms between R_1 and R_2 in term of complete preservers of fixed points of multipliers, under some mild a...; 关键词：COMPLETE PRESERVER problem BANACH algebra RING isomorphism operator on BANACH space

Generalized Canonical Isomorphisms on Determinant: 《Algebra Colloquium》2016年第2期239-242,共4页Jianke Chen; In this paper we define tensor modules （sheaves） of Schur type and of generalized Schur type associated with given modules （sheaves）, using the so-called Schur functors. According to the functorial property, we gi...; 关键词：tensor sheaves of Schur types generalized canonical isomorphism on determinant

ISOMORPHISMS