J4 ›› 2012, Vol. 50 ›› Issue (03): 387-.
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CHENG Zhi1,2, BEN Yanfu1, WANG Xiujian1, DU Xianneng1
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We mainly studied the n-extensions of Koszul algebras with the help of the combination tools in representation theory. We got the conclusion that some n-triangular extensions of Koszul algebras are also Koszul algebras. Finally, an example was given to show that for the integer d≥3, the n-extensions algebras of dKoszul algebras may not be dKoszul algebras.
Key words: matrix extension, triangular matrix extension, Koszul algebra
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CHENG Zhi, BEN Yan-Fu, WANG Xiu-Jian, DU Xian-Nai. n-Extensions of Koszul Algebras[J].J4, 2012, 50(03): 387-.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2012/V50/I03/387
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