On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts
We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ring. Some related notions are explored as well.
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2021-03-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/123 |
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| _version_ | 1849416245601894400 |
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| author | P.V. Danchev |
| author_facet | P.V. Danchev |
| author_sort | P.V. Danchev |
| collection | DOAJ |
| description | We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ring. Some related notions are explored as well. |
| format | Article |
| id | doaj-art-7e1c4e0c4a5a40cb8f8f132da1e9b66a |
| institution | Kabale University |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2021-03-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-7e1c4e0c4a5a40cb8f8f132da1e9b66a2025-08-20T03:33:14ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202021-03-01551243210.30970/ms.55.1.24-32123On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related conceptsP.V. DanchevWe investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ring. Some related notions are explored as well.http://matstud.org.ua/ojs/index.php/matstud/article/view/123idempotents; nilpotents; commutators; traces; matrices. |
| spellingShingle | P.V. Danchev On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts Математичні Студії idempotents; nilpotents; commutators; traces; matrices. |
| title | On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| title_full | On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| title_fullStr | On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| title_full_unstemmed | On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| title_short | On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| title_sort | on the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts |
| topic | idempotents; nilpotents; commutators; traces; matrices. |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/123 |
| work_keys_str_mv | AT pvdanchev ontheidempotentandnilpotentsumnumbersofmatricesovercertainindecomposableringsandrelatedconcepts |