Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3
We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152362 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732360352530432 |
|---|---|
| author | Bialkowski, J. Skowronski, A. |
| author_facet | Bialkowski, J. Skowronski, A. |
| citation_txt | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type.
|
| first_indexed | 2025-12-07T19:31:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152362 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:31:29Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bialkowski, J. Skowronski, A. 2019-06-10T13:17:23Z 2019-06-10T13:17:23Z 2007 Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 / J. Bialkowski, A. Skowronski // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 27–37. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16D50, 16G60, 18G10. https://nasplib.isofts.kiev.ua/handle/123456789/152362 We prove that there exist nonstandard K-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field K of characteristic 3, using deformed preprojective algebras of generalized Dynkin type. Supported by the Polish Scientific Grant KBN No. 1 P03A 018 27. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Article published earlier |
| spellingShingle | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 Bialkowski, J. Skowronski, A. |
| title | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_fullStr | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_full_unstemmed | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_short | Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3 |
| title_sort | nonstandard additively finite triangulated categories of calabi-yau dimension one in characteristic 3 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152362 |
| work_keys_str_mv | AT bialkowskij nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 AT skowronskia nonstandardadditivelyfinitetriangulatedcategoriesofcalabiyaudimensiononeincharacteristic3 |