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 fully k-wild. A key argument is a c...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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.
|
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| ISSN: | 1726-3255 |