| Title: | Core-EP decomposition and related relations revisited |
|---|
| Authors: | ID Dolinar, Gregor (Author)
ID Marovt, Janko (Author)
ID Mosić, Dijana (Author) |
|---|
| Files: |  PDF - Presentation file, download (418,71 KB)
MD5: 7283BCB58A29C293E25BF03C27AAB164
 URL - Source URL, visit https://dergipark.org.tr/en/pub/ieja/article/1892320
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
|
|---|
| 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 $n \times n$ 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. |
|---|
| Keywords: | core-EP decomposition, ∗-ring, partial order, core order, minus order, star order |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.01.2026 |
|---|
| Year of publishing: | 2026 |
|---|
| Number of pages: | str. 91-113 |
|---|
| Numbering: | Vol. 40 |
|---|
| PID: | 20.500.12556/DiRROS-31264  |
|---|
| UDC: | 512.554 |
|---|
| ISSN on article: | 1306-6048 |
|---|
| DOI: | 10.24330/ieja.1892320 |
|---|
| COBISS.SI-ID: | 285790467 |
|---|
| Note: |
|
|---|
| Publication date in DiRROS: | 23.07.2026 |
|---|
| Views: | 198 |
|---|
| Downloads: | 113 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
