Global dimension of Noetherian serial rings |
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| Authors: | N A Bronickaya V V Kirichenko |
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| Institution: | 1.Kiev National Taras Shevchenko University,Kiev,Ukraine |
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| Abstract: | The global dimension of Noetherian serial rings is studied. It is proved that if an indecomposable serial ring has infinite
global dimension then it is Artinian and its quiver is a simple cycle. Using methods of the theory of right serial quivers,
we give an upper estimate on the Loewy length of Artinian rings of finite global dimension. Applications to the calculation
of the global dimension of tiled orders of width 2 are given. |
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