Proper ties of core-EP order in rings with involution  

作　　者：Gregor DOLINAR Bojan KUZMA Janko MAROVT Burcu UNGOR 

机构地区：[1]University of Ljubljana, Faculty of Elec trical Engineering, Trzaska 25, SI-1000 Ljubljana, Slovenia [2]University of Primorska, Glagoljaska 8, SI-6000 Koper, Slovenia [3]University of Maribor, Faculty of Economics and Business, Razlagova 14, SI-2000 Maribor, Slovenia [4]IMFM, Jadranska 19, SI-1000 Ljubljana, Slovenia [5]Faculty of Sciences, Ankara University, 06100, Tandogan, Ankara, Turkey

出　　处：《Frontiers of Mathematics in China》2019年第4期715-736,共22页中国高等学校学术文摘·数学（英文）

摘　　要：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.

关 键 词：DRAZIN INVERSE core-EP decomposition pre-order ring 

分 类 号：O[理学]