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:
| Date: | 2018 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/858 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| _version_ | 1856543171392045056 |
|---|---|
| author | Gardner, B. J. |
| author_facet | Gardner, B. J. |
| author_sort | Gardner, B. J. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T12:28:31Z |
| 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. |
| first_indexed | 2026-02-08T07:58:08Z |
| format | Article |
| id | admjournalluguniveduua-article-858 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:08Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8582018-03-21T12:28:31Z There isn’t much duality in radical theory Gardner, B. J. radical class, semi-simple class, duality 16N80, 16S90, 18E40 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/858 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/858/388 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | radical class semi-simple class duality 16N80 16S90 18E40 Gardner, B. J. There isn’t much duality in radical theory |
| 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 |
| topic | radical class semi-simple class duality 16N80 16S90 18E40 |
| topic_facet | radical class semi-simple class duality 16N80 16S90 18E40 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/858 |
| work_keys_str_mv | AT gardnerbj thereisntmuchdualityinradicaltheory |