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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152372 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152372 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
There isn’t much duality in radical theory |
| spellingShingle |
There isn’t much duality in radical theory Gardner, B.J. |
| 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 |
| author |
Gardner, B.J. |
| author_facet |
Gardner, B.J. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152372 |
| fulltext |
|
| 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. |
| work_keys_str_mv |
AT gardnerbj thereisntmuchdualityinradicaltheory |
| first_indexed |
2025-11-26T00:21:24Z |
| last_indexed |
2025-11-26T00:21:24Z |
| _version_ |
1850600465000038400 |