Radical functors in the category of modules over different rings
The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated.
Збережено в:
| Дата: | 2018 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-816 |
|---|---|
| record_format |
ojs |
| spelling |
admjournalluguniveduua-article-8162018-03-22T09:42:02Z Radical functors in the category of modules over different rings Burban, Natalia Horbachuk, Omelyan category, functor, radical functor, category of modules, essential subcategory 16S90, 16D90 The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816 Algebra and Discrete Mathematics; Vol 7, No 3 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816/346 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-03-22T09:42:02Z |
| collection |
OJS |
| language |
English |
| topic |
category functor radical functor category of modules essential subcategory 16S90 16D90 |
| spellingShingle |
category functor radical functor category of modules essential subcategory 16S90 16D90 Burban, Natalia Horbachuk, Omelyan Radical functors in the category of modules over different rings |
| topic_facet |
category functor radical functor category of modules essential subcategory 16S90 16D90 |
| format |
Article |
| author |
Burban, Natalia Horbachuk, Omelyan |
| author_facet |
Burban, Natalia Horbachuk, Omelyan |
| author_sort |
Burban, Natalia |
| title |
Radical functors in the category of modules over different rings |
| title_short |
Radical functors in the category of modules over different rings |
| title_full |
Radical functors in the category of modules over different rings |
| title_fullStr |
Radical functors in the category of modules over different rings |
| title_full_unstemmed |
Radical functors in the category of modules over different rings |
| title_sort |
radical functors in the category of modules over different rings |
| description |
The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816 |
| work_keys_str_mv |
AT burbannatalia radicalfunctorsinthecategoryofmodulesoverdifferentrings AT horbachukomelyan radicalfunctorsinthecategoryofmodulesoverdifferentrings |
| first_indexed |
2025-12-02T15:46:42Z |
| last_indexed |
2025-12-02T15:46:42Z |
| _version_ |
1850412004004593664 |