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| ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS |
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Citation： |
Deng Bangming,Xi Changchang.ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS[J].Chinese Annals of Mathematics B,1997,18(4):467~480 |
| Page view： 1198
Net amount： 683 |
Authors： |
Deng Bangming; Xi Changchang |
Foundation： |
the Young Teachers Foundation of the State Education Commission and the National Natural Science Foundation of China |
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| Abstract： |
A useful reduction is presented to determine the finiteness
of $\dt$--good module category $\cf(\dt)$ of a quasi-hereditary algebra. As an application of the reduction, the $\cf(\dt)$--finiteness of quasi--hereditary $M$--twisted double incidence algebras of posets is discussed. In particular, a complete classification of $\cf(\dt)$-finite $M$--twisted double incidence algebras is given in case the posets are linearly ordered. |
Keywords： |
Quasi--hereditary algebra, $\dt$--good module,
$\cf(\dt)$--finiteness, $M$--twisted double incidence algebra |
Classification： |
16G10, 16G60 |
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