Properties of core-EP order in rings with involution |
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| Authors: | Gregor DOLINAR Bojan KUZMA Janko MAROVT Burcu UNGOR |
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| Institution: | 1. University of Ljubljana, Faculty of Electrical Engineering, Trzaska 25, SI-1000 Ljubljana, Slovenia2. University of Primorska, Glagoljaska 8, SI-6000 Koper, Slovenia3. University of Maribor, Faculty of Economics and Business, Razlagova 14, SI-2000 Maribor, Slovenia4. IMFM, Jadranska 19, SI-1000 Ljubljana, Slovenia5. Faculty of Sciences, Ankara University, 06100, Tandogan, Ankara, Turkey |
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| Abstract: | 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. |
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| Keywords: | Drazin inverse core-EP decomposition pre-order ring |
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