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INVERSES: 作品数：31被引量：54H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：杨义先王永传李为民席俊更多>>; 相关机构：北京邮电大学上海交通大学天津师范专科学校更多>>; 相关期刊：《Algebra Colloquium》《Wuhan University Journal of Natural Sciences》《Advances in Atmospheric Sciences》《Numerical Mathematics(Theory,Methods and Applications)》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽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

Relative (b, c)-Inverses with Respect to a Ring Endomorphism: 《Journal of Mathematical Research with Applications》2023年第4期433-446,共14页Jun JIAO Wenxi LI Liang ZHAO; Supported by the National Natural Science Foundation of China(Grant No.12161049)。; We study the relative properties of(b,c)-inverses with respect to a ring endomorphism.A new class of generalized inverses namedα-(b,c)-inverse is introduced and studied in a more general setting.We show by giving an ...; 关键词：α-(b c)-inverse Cline’s formula Jacobson’s lemma strongly clean decomposition

Jacobson's Lemma for Generalized Drazin–Riesz Inverses: 《Acta Mathematica Sinica,English Series》2023年第3期481-496,共16页Soufiane HADJI Hassane ZGUITTI; For bounded linear operators A,B,C and D on a Banach space X,we show that if BAC=BDB and CDB=CAC then I-AC is generalized Drazin-Riesz invertible if and only if I-BD is generalized Drazin-Riesz invertible,which gives ...; 关键词：Jacobson's lemma Drazin inverse generalized Drazin-Riesz inverse

Weighted Moore-Penrose Inverses and Weighted Core Inverses in Rings with Involution被引量：2: 《Chinese Annals of Mathematics,Series B》2021年第4期613-624,共12页Huihui ZHU Qing-Wen WANG; supported by the National Natural Science Foundation of China(Nos.11971294,11801124);China Postdoctoral Science Foundation(No.2020M671068);the Natural Science Foundation of Anhui Province(No.1808085QA16)。; In this paper,the authors derive the existence criteria and the formulae of the weighted Moore-Penrose inverse,the e-core inverse and the f-dual core inverse in rings.Also,new characterizations between weighted Moore-...; 关键词：Weighted Moore-Penrose inverses One-sided inverses along an element Inverses along an element e-Core inverses f-Dual core inverses

Displacement Structure of Core-EP Inverses被引量：1: 《Wuhan University Journal of Natural Sciences》2020年第6期483-488,共6页MENG Xianchun WANG Hongxing LIU Ailing; Supported by Guangxi Natural Science Foundation(2018GXNSFDA281023,2018GXNSFAA138181);High Level Innovation Teams and Distinguished Scholars in Guangxi Universities(GUIJIAOREN201642HAO);Graduate Research Innovation Project of Guangxi University for Nationalities(gxun-chxzs2018041,gxun-chxzs2019026);the Special Fund for Bagui Scholars of Guangxi(2016A17);the National Natural Science Foundation of China(61772006,12061015);the Science and Technology Major Project of Guangxi(AA17204096)。; In this paper,we study the displacement rank of the Core-EP inverse.Both Sylvester displacement and generalized displacement are discussed.We present upper bounds for the ranks of the displacements of the Core-EP inve...; 关键词：core-EP invers displacement structure Hermitian matrix

BICYCLIC GRAPHS WITH UNICYCLIC OR BICYCLIC INVERSES: 《Annals of Applied Mathematics》2020年第3期270-281,共12页Xia Wang Hong Bian Haizheng Yu; NSFC(Grant No.11761070,61662079);Postgraduate Innovation Project of Xinjiang,Xinjiang Normal University Undergraduate teaching project(SDJG2017-3);The Opening Project of Key Laboratory of Xinjiang Normal University(No:XJNUSYS082017A02).; A graph G is nonsingular if its adjacency matrix A(G)is nonsingular.A nonsingular graph G is said to have an inverse G+if A(G)-1 is signature similar to a nonnegative matrix.Let H be the class of connected bipartite g...; 关键词：inverse graph unicyclic graph bicyclic graph perfect matching

Efficient GMM estimation with singular system of moment conditions: 《Statistical Theory and Related Fields》2020年第2期172-178,共7页Zhiguo Xiao; supported by the National Natural Science Foundation of China(NSFC grant:71661137005,71473040 and 11571081).; Standard generalised method of moments(GMM)estimation was developed for nonsingular system of moment conditions.However,many important economic models are characterised by singular system of moment conditions.This pap...; 关键词：Singular moment condition models generalised method of moments reflexive generalised inverses imposing random noises

New characterizations for core inverses in rings with involution被引量：10: 《Frontiers of Mathematics in China》2017年第1期231-246,共16页Sanzhang XU Jianlong CHEN Xiaoxiang ZHANG; This work was supported by the National Natural Science Foundation of China(Grant Nos.11201063,11371089);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20120092110020);the Jiangsu Planned Projects for Postdoctoral Research Funds(No.1501048B);the Natural Science Foundation of Jiangsu Province(No.BK20141327).; The core inverse for a complex matrix was introduced by O.M.Baksalary and G.Trenkler.D.S.Rakic,N.C.Dincic and D.S.Djordjevc generalized the core inverse of a complex matrix to the case of an element in a ring.They als...; 关键词：Core inverse dual core inverse group inverse {1 3}-inverse inverse{1 4}-inverse

ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES: 《Acta Mathematica Scientia》2014年第4期1193-1211,共19页Dae-Woong LEE; supported by Basic Science Research Program through the National Research Foundation of Korea (NRF);the Ministry of Education,Science and Technology (2010-0022035); In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old...; 关键词：INVERSES co-H-spaces comultiplications basic （Whitehead） product Hopf- Hilton invariants algebraic loops inversivity power-associativity Moufang property

Winter Map Inverses: 《Advances in Pure Mathematics》2014年第7期303-308,共6页Thomas B. Gregory; We demonstrate the functional inverse of a Winter map, which is an analog of the exponential map, for Lie algebras over fields of prime characteristic.; 关键词：Prime-Characteristic LIE ALGEBRAS Prime-Characteristic LIE GROUPS

INVERSES