Frontiers of Mathematics in China >
Properties of core-EP order in rings with involution
Received date: 16 May 2018
Accepted date: 28 Jul 2019
Published date: 15 Aug 2019
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We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n × n complex matrices [Linear Algebra Appl., 2016, 508: 289–300] and has been recently generalized by Y. Gao, J. Chen, and Y. Ke to *-rings [Filomat, 2018, 32: 3073–3085]. We present new characterizations of the core-EP order in *-rings with identity and introduce the notions of the dual core-EP decomposition and the dual core-EP order in-rings.
Key words: Drazin inverse; core-EP decomposition; pre-order; ring
Gregor DOLINAR , Bojan KUZMA , Janko MAROVT , Burcu UNGOR . Properties of core-EP order in rings with involution[J]. Frontiers of Mathematics in China, 2019 , 14(4) : 715 -736 . DOI: 10.1007/s11464-019-0782-8
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