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Title:Core-EP decomposition and related relations revisited
Authors:ID Dolinar, Gregor (Author)
ID Marovt, Janko (Author)
ID Mosić, Dijana (Author)
Files:URL https://dergipark.org.tr/en/pub/ieja/article/1892320
 
.pdf RAZ_Dolinar_Gregor_2026.pdf (418,67 KB)
MD5: 690223C05974B80C46632D05CDE291E7
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:EPF - Faculty of Business and Economics
Abstract: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 × n complex matrices to the set of all core-EP invertible elements in a ∗ -ring. Several characterizations of these relations are presented and thus some known results are generalized.
Keywords:Core-EP decomposition, ∗ -ring, partial order, core order, minus order, star order
Publication status:Published
Publication version:Version of Record
Publication date:16.07.2026
Year of publishing:2026
Number of pages:str. 91-113
Numbering:Vol. 40
PID:20.500.12556/DKUM-98981 New window
UDC:512.554
ISSN on article:1306-6048
COBISS.SI-ID:285790467 New window
DOI:10.24330/ieja.1892320 New window
Publication date in DKUM:23.07.2026
Views:263
Downloads:4
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:International Electronic Journal of Algebra
Shortened title:Int. Electron. J. Algebra
Publisher:Abdullah Harmanci
ISSN:1306-6048
COBISS.SI-ID:527120153 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0288-2022
Name:Algebra in njena uporaba

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

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