Indian Journal of Pure and Applied Mathematics

, Volume 50, Issue 4, pp 837–847 | Cite as

Core invertibility of triangular matrices over a ring

  • Sanzhang XuEmail author


We obtained several equivalent conditions for the existence of core inverses and dual core inverses of triangular matrices over a ring with involution. As applications, some necessary and sufficient conditions for the (2,2,0) core inverse problem are given.

Key words

Core inverse dual core inverse group inverse ring triangular matrix 


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The author is grateful to China Scholarship Council for giving him a purse for his further study in Universidad Politécnica de Valencia, Spain. Research is supported by the Natural Science Foundation of Jiangsu Education Committee (No. 19KJB110005) and the Natural Science Foundation of Jiangsu Province of China (No. BK20191047).


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Copyright information

© Indian National Science Academy 2019

Authors and Affiliations

  1. 1.Faculty of Mathematics and PhysicsHuaiyin Institute of TechnologyHuaianP. R. China

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