20.500.12556/DiRROS-31264 Core-EP decomposition and related relations revisited We study relations that are induced by the core-EP decomposition. We revisit the core-EP preorder and extend the concepts of the core-minus, the c-minus, and the c-star partial orders from the set of all $n \times n$ complex matrices to the set of all core-EP invertible elements in a $\ast$-ring. Several characterizations of these relations are presented and thus some known results are generalized. core-EP decomposition ∗-ring partial order core order minus order star order true false true Angleški jezik Ni določen Neznano 2026-07-23 12:30:54 2026-07-23 12:30:54 2026-07-24 03:52:03 0000-00-00 00:00:00 2026 0 0 str. 91-113 Vol. 40 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-01-01 512.554 1306-6048 10.24330/ieja.1892320 285790467 10.24330-ieja.1892320-5732737.pdf 10.24330-ieja.1892320-5732737.pdf 1 7283BCB58A29C293E25BF03C27AAB164 1f5b462b020cb4c8abf01b487e0c560d55b79915752384e8358d89b6aff640d5 fe3ded74-8681-11f1-812a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=48282 https://dergipark.org.tr/en/pub/ieja/article/1892320 1 97053b5e-8681-11f1-812a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=48281 Inštitut za matematiko, fiziko in mehaniko 0 0 0