On fully wild categories of representations of posets
Assume that I is a finite partially ordered set and
 k is a field. We prove that if the category prin(kI) of prinjective
 modules over the incidence k-algebra kI of I is fully k-wild then the
 category fpr(I,k) of finite dimensional k-representations of I is also
 ful...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157368 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On fully wild categories of representations of posets / S. Kasjan // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 71–91. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540426686234624 |
|---|---|
| author | Kasjan, S. |
| author_facet | Kasjan, S. |
| citation_txt | On fully wild categories of representations of posets / S. Kasjan // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 71–91. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Assume that I is a finite partially ordered set and
k is a field. We prove that if the category prin(kI) of prinjective
modules over the incidence k-algebra kI of I is fully k-wild then the
category fpr(I,k) of finite dimensional k-representations of I is also
fully k-wild. A key argument is a construction of fully faithful exact
endofunctors of the category of finite dimensional khx,yi-modules,
with the image contained in certain subcategories.
|
| first_indexed | 2025-11-24T16:09:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157368 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T16:09:58Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kasjan, S. 2019-06-20T03:07:20Z 2019-06-20T03:07:20Z 2006 On fully wild categories of representations of posets / S. Kasjan // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 71–91. — Бібліогр.: 29 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16G60, 16G30, 03C60. https://nasplib.isofts.kiev.ua/handle/123456789/157368 Assume that I is a finite partially ordered set and
 k is a field. We prove that if the category prin(kI) of prinjective
 modules over the incidence k-algebra kI of I is fully k-wild then the
 category fpr(I,k) of finite dimensional k-representations of I is also
 fully k-wild. A key argument is a construction of fully faithful exact
 endofunctors of the category of finite dimensional khx,yi-modules,
 with the image contained in certain subcategories. The author thanks Daniel Simson for stimulating remarks and discussions on the subject of this article. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On fully wild categories of representations of posets Article published earlier |
| spellingShingle | On fully wild categories of representations of posets Kasjan, S. |
| title | On fully wild categories of representations of posets |
| title_full | On fully wild categories of representations of posets |
| title_fullStr | On fully wild categories of representations of posets |
| title_full_unstemmed | On fully wild categories of representations of posets |
| title_short | On fully wild categories of representations of posets |
| title_sort | on fully wild categories of representations of posets |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157368 |
| work_keys_str_mv | AT kasjans onfullywildcategoriesofrepresentationsofposets |