Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (1): 36-42.
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ZHU Ping, CAO Yong-Zhi
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Abstract:
该文研究范畴中态射α关于对称态射β和γ的加权MoorePenrose逆αβ,γ+ ,分别给出了一般态射、有满单分解态射与有核(上核)态射的αβ,γ+ 存在的充要条件及其相应的表达式.
Key words: 范畴, 态射, 加权MoorePenrose逆, 满单分解, 核
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ZHU Ping, CAO Yong-Zhi. Weighted Moore-Penrose Lnverses of Morphisms[J].Acta mathematica scientia,Series A, 2001, 21(1): 36-42.
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1 DavisDL,RobinsonD W. Generalizedinversesofmorphisms.Lin.Alg.Appl.,1972,5:319—328 2 PuystjensR,RobinsonD W.TheMoorePenroseinverseofamorphism withfactorization.Lin.Alg.Appl.,1981,40: 129—141 3 RobinsonD W,puystjensR.Generalizedinversesofmorphismswithkernels.LinAlgAppl,1987,96:65—86 4 庄瓦金. 范畴中态射的广义逆. 数学学报,1988,31(1):39—45 5 曹重光. 关于态射的广义逆. 数学学报,1991,34(3):403—407 6 李桃生. 有满单分解态射的MoorePenrose逆. 数学学报,1993,36(1):60—67 7 HartwigRE.Theweightedcorenilpotentdecomposition.LinAlgAppl,1994,211:101—111 8 李桃生. 范畴与同调代数基础. 武汉:华中师范大学出版社,1988 9 PuystjensR,RobinsonD W.SymmetricmorphismsandtheexistenceofMoorePenroseinverses.LinAlgAppl,1990, 131:51—69 10 BenIsraelA,GrevilleT NE. Generalizedinverses:theoryandapplication.New York:John Wiley,1974
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