Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication
Let R be a ring with an endomorphism σ. We introduce (σ, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ≤ n and n ≥ 2, R[x; σ] is a reduced ring if and only if Sn,m(R) is a ring with (σ, 0)-multiplication.
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152357 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication / C. Abdioglu, S. Şahinkay, A. KÖR // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 1–11. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862693763044868096 |
|---|---|
| author | Abdioglu, C. Şahinkaya, S. KÖR, A. |
| author_facet | Abdioglu, C. Şahinkaya, S. KÖR, A. |
| citation_txt | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication / C. Abdioglu, S. Şahinkay, A. KÖR // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 1–11. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let R be a ring with an endomorphism σ. We introduce (σ, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ≤ n and n ≥ 2, R[x; σ] is a reduced ring if and only if Sn,m(R) is a ring with (σ, 0)-multiplication.
|
| first_indexed | 2025-12-07T16:20:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152357 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:20:46Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Abdioglu, C. Şahinkaya, S. KÖR, A. 2019-06-10T11:13:23Z 2019-06-10T11:13:23Z 2014 Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication / C. Abdioglu, S. Şahinkay, A. KÖR // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 1–11. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 MSC:16N60,16S36,16W60. https://nasplib.isofts.kiev.ua/handle/123456789/152357 Let R be a ring with an endomorphism σ. We introduce (σ, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ≤ n and n ≥ 2, R[x; σ] is a reduced ring if and only if Sn,m(R) is a ring with (σ, 0)-multiplication. We would like to express our gratefulness to the referee for his/her valuable suggestions and contributions. Special thanks to Tamer Koşan (from GIT). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication Article published earlier |
| spellingShingle | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication Abdioglu, C. Şahinkaya, S. KÖR, A. |
| title | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| title_full | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| title_fullStr | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| title_full_unstemmed | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| title_short | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| title_sort | rigid, quasi-rigid and matrix rings with (σ,0)-multiplication |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152357 |
| work_keys_str_mv | AT abdiogluc rigidquasirigidandmatrixringswithσ0multiplication AT sahinkayas rigidquasirigidandmatrixringswithσ0multiplication AT kora rigidquasirigidandmatrixringswithσ0multiplication |