On the representation type of Jordan basic algebras
A finite dimensional Jordan algebra \(J\) over a field \({\bf k}\) is called \textit{basic} if the quotient algebra \(J/{\rm Rad} J\) is isomorphic to a direct sum of copies of \({\bf k}\).We describe all basic Jordan algebras \(J\) with \(({\rm Rad} J)^2=0\) of finite and tame representation type o...
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| Date: | 2017 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2017
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/443 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543430521389056 |
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| author | Kashuba, Iryna Ovsienko, Serge Shestakov, Ivan |
| author_facet | Kashuba, Iryna Ovsienko, Serge Shestakov, Ivan |
| author_sort | Kashuba, Iryna |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2017-04-10T07:40:45Z |
| description | A finite dimensional Jordan algebra \(J\) over a field \({\bf k}\) is called \textit{basic} if the quotient algebra \(J/{\rm Rad} J\) is isomorphic to a direct sum of copies of \({\bf k}\).We describe all basic Jordan algebras \(J\) with \(({\rm Rad} J)^2=0\) of finite and tame representation type over an algebraically closed field of characteristic 0. |
| first_indexed | 2026-02-08T07:59:32Z |
| format | Article |
| id | admjournalluguniveduua-article-443 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:32Z |
| publishDate | 2017 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-4432017-04-10T07:40:45Z On the representation type of Jordan basic algebras Kashuba, Iryna Ovsienko, Serge Shestakov, Ivan Jordan algebra, Jordan bimodule, Representation type, Quiver of an algebra 16G60, 17C55, 17C99 A finite dimensional Jordan algebra \(J\) over a field \({\bf k}\) is called \textit{basic} if the quotient algebra \(J/{\rm Rad} J\) is isomorphic to a direct sum of copies of \({\bf k}\).We describe all basic Jordan algebras \(J\) with \(({\rm Rad} J)^2=0\) of finite and tame representation type over an algebraically closed field of characteristic 0. Lugansk National Taras Shevchenko University 2017-04-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/443 Algebra and Discrete Mathematics; Vol 23, No 1 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/443/93 Copyright (c) 2017 Algebra and Discrete Mathematics |
| spellingShingle | Jordan algebra Jordan bimodule Representation type Quiver of an algebra 16G60 17C55 17C99 Kashuba, Iryna Ovsienko, Serge Shestakov, Ivan On the representation type of Jordan basic algebras |
| title | On the representation type of Jordan basic algebras |
| title_full | On the representation type of Jordan basic algebras |
| title_fullStr | On the representation type of Jordan basic algebras |
| title_full_unstemmed | On the representation type of Jordan basic algebras |
| title_short | On the representation type of Jordan basic algebras |
| title_sort | on the representation type of jordan basic algebras |
| topic | Jordan algebra Jordan bimodule Representation type Quiver of an algebra 16G60 17C55 17C99 |
| topic_facet | Jordan algebra Jordan bimodule Representation type Quiver of an algebra 16G60 17C55 17C99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/443 |
| work_keys_str_mv | AT kashubairyna ontherepresentationtypeofjordanbasicalgebras AT ovsienkoserge ontherepresentationtypeofjordanbasicalgebras AT shestakovivan ontherepresentationtypeofjordanbasicalgebras |