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<metadata xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/"><dc:title>Core-EP decomposition and related relations revisited</dc:title><dc:creator>Dolinar,	Gregor	(Avtor)
	</dc:creator><dc:creator>Marovt,	Janko	(Avtor)
	</dc:creator><dc:creator>Mosić,	Dijana	(Avtor)
	</dc:creator><dc:subject>core-EP decomposition</dc:subject><dc:subject>∗-ring</dc:subject><dc:subject>partial order</dc:subject><dc:subject>core order</dc:subject><dc:subject>minus order</dc:subject><dc:subject>star order</dc:subject><dc:description>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.</dc:description><dc:date>2026</dc:date><dc:date>2026-07-23 12:30:54</dc:date><dc:type>Neznano</dc:type><dc:identifier>31264</dc:identifier><dc:identifier>UDK: 512.554</dc:identifier><dc:identifier>ISSN pri članku: 1306-6048</dc:identifier><dc:identifier>DOI: 10.24330/ieja.1892320</dc:identifier><dc:identifier>COBISS_ID: 285790467</dc:identifier><dc:language>sl</dc:language></metadata>
