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періодичних видань НАН України
On fully wild categories of representations of posets
Репозиторій DSpace/Manakin
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On fully wild categories of representations of posets
Інший ID:
2000 Mathematics Subject Classification: 16G60, 16G30, 03C60.
Посилання:
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.
Підтримка:
The author thanks Daniel Simson for stimulating remarks and discussions on the subject of this article.
Дата:
2006
Переглядів:
515
Завантажень:
189
Анотація:
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.
