幾類具有非純分解的Koszul型代數(shù)
發(fā)布時間:2018-12-15 22:08
【摘要】:本文是對具有非純分解的Koszul-型代數(shù)的繼續(xù)研究.具體地,我們引入了三類新的非純Koszul-型代數(shù):廣義雙Koszul代數(shù),(a, b, c, d)-Koszul代數(shù)和廣義離散Koszul代數(shù).針對每一類代數(shù)研究了其Yoneda代數(shù)的結(jié)構(gòu)與性質(zhì),給出了它們的若干等價刻畫.相關(guān)結(jié)果的取得,進一步豐富了Koszul理論.
[Abstract]:In this paper, we continue to study Koszul- type algebras with nonpure decomposition. Specifically, we introduce three new classes of nonpure Koszul- type algebras: generalized double Koszul algebras, (a, b, c, d)-Koszul algebras and generalized discrete Koszul algebras. In this paper, we study the structure and properties of Yoneda algebras for each class of algebras, and give some equivalent characterizations of them. The obtained results further enrich the Koszul theory.
【學(xué)位授予單位】:浙江師范大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:O153
本文編號:2381360
[Abstract]:In this paper, we continue to study Koszul- type algebras with nonpure decomposition. Specifically, we introduce three new classes of nonpure Koszul- type algebras: generalized double Koszul algebras, (a, b, c, d)-Koszul algebras and generalized discrete Koszul algebras. In this paper, we study the structure and properties of Yoneda algebras for each class of algebras, and give some equivalent characterizations of them. The obtained results further enrich the Koszul theory.
【學(xué)位授予單位】:浙江師范大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:O153
【參考文獻】
相關(guān)期刊論文 前1條
1 ;(s,t,d)-bi-Koszul algebras[J];Science in China(Series A:Mathematics);2009年11期
,本文編號:2381360
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