SIMPLE MODULES AND NON-COMMUTATIVE QUADRICS

被引：0

作者：

Jondrup, Soren ^{[1
]}

机构：

[1] Univ Copenhagen, Inst Matemat, DK-2100 Copenhagen, Denmark

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 08期

关键词：

Modules; extensions; plane curves; dimensions; ext-relation; non-commutative Jacobi matrix;

D O I：

10.1142/S0219498813500485

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we classify non-commutative quadrics and study their homological properties. In fact we find all non-commutative algebras of degree 2 up to isomorphism and we study these algebras via their homomorphic images onto the polynomial algebra k[x, y] as well as the Ext(1)(k(p), k(q))-groups, where k(p) and k(q) are one-dimensional simple modules. Moreover some general results on simple finite-dimensional modules are obtained. Some of these results are applied to the special cases of non-commutative quadrics.

引用

页数：15

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