There isn’t much duality in radical theory
The definitions of radical and semi-simple classes are in a natural sense dual to each other. However, statements dual in the same sense to theorems of radical theory tend to be false. Some insights may nevertheless be gained from consideration of duality, and we illustrate this with a link between...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152372 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | There isn’t much duality in radical theory / B. J. Gardner // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 59–66. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862567706655457280 |
|---|---|
| author | Gardner, B.J. |
| author_facet | Gardner, B.J. |
| citation_txt | There isn’t much duality in radical theory / B. J. Gardner // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 59–66. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The definitions of radical and semi-simple classes are in a natural sense dual to each other. However, statements dual in the same sense to theorems of radical theory tend to be false. Some insights may nevertheless be gained from consideration of duality, and we illustrate this with a link between additive radicals and semi-simple radical classes.
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| first_indexed | 2025-11-26T00:21:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152372 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T00:21:24Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gardner, B.J. 2019-06-10T14:56:44Z 2019-06-10T14:56:44Z 2007 There isn’t much duality in radical theory / B. J. Gardner // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 59–66. — Бібліогр.: 20 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16N80, 16S90, 18E40. https://nasplib.isofts.kiev.ua/handle/123456789/152372 The definitions of radical and semi-simple classes are in a natural sense dual to each other. However, statements dual in the same sense to theorems of radical theory tend to be false. Some insights may nevertheless be gained from consideration of duality, and we illustrate this with a link between additive radicals and semi-simple radical classes. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics There isn’t much duality in radical theory Article published earlier |
| spellingShingle | There isn’t much duality in radical theory Gardner, B.J. |
| title | There isn’t much duality in radical theory |
| title_full | There isn’t much duality in radical theory |
| title_fullStr | There isn’t much duality in radical theory |
| title_full_unstemmed | There isn’t much duality in radical theory |
| title_short | There isn’t much duality in radical theory |
| title_sort | there isn’t much duality in radical theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152372 |
| work_keys_str_mv | AT gardnerbj thereisntmuchdualityinradicaltheory |