A construction of dual box
Let R be a quasi-hereditary algebra, F(∆) and F(∇) its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes A = A∆ and A∇. These last are the box theory counterparts of Ringel duality ([8]). We present...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157387 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A construction of dual box / S. Ovsienko // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 77–86. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Let R be a quasi-hereditary algebra, F(∆) and
F(∇) its categories of good and cogood modules correspondingly.
In [6] these categories were characterized as the categories of representations of some boxes A = A∆ and A∇. These last are the box
theory counterparts of Ringel duality ([8]). We present an implicit
construction of the box B such that B − mo is equivalent to F(∇).
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| ISSN: | 1726-3255 |