Self-tests for freeness over commutative artinian rings
Self-tests for freeness over commutative artinian rings
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交换阿天环上的自由度自测试
DOI：
10.1016/j.jpaa.2010.08.010
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发表时间：
2011
影响因子：
0.8
通讯作者：
L. Şega
中科院分区：
文献类型：
--
作者：
L. Şega
我们证明了Auslander-Reiten猜想在两种情况下对于交换标准分次阿廷代数成立：第一种情况是假设所考虑的模是单次分次和生成的。第二个是假设代数是一般Gorenstein的socle度3。
We prove that the Auslander–Reiten conjecture holds for commutative standard graded artinian algebras, in two situations: the first is under the assumption that the modules considered are graded and generated in a single degree. The second is under the assumption that the algebra is generic Gorenstein of socle degree 3.