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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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Інститут прикладної математики і механіки НАН України
2007
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152372 |
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irk-123456789-1523722019-06-11T01:25:22Z There isn’t much duality in radical theory Gardner, B.J. 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. 2007 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152372 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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English |
| 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. |
| format |
Article |
| author |
Gardner, B.J. |
| spellingShingle |
Gardner, B.J. There isn’t much duality in radical theory Algebra and Discrete Mathematics |
| author_facet |
Gardner, B.J. |
| author_sort |
Gardner, B.J. |
| title |
There isn’t much duality in radical theory |
| title_short |
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_sort |
there isn’t much duality in radical theory |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152372 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT gardnerbj thereisntmuchdualityinradicaltheory |
| first_indexed |
2023-05-20T17:38:10Z |
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2023-05-20T17:38:10Z |
| _version_ |
1796153742908719104 |