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POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2020-01-10 , DOI: 10.1017/s0017089519000466
OLGUR CELIKBAS , RYO TAKAHASHI

We prove that each positive power of the maximal ideal of a commutative Noetherian local ring is Tor-rigid and strongly rigid. This gives new characterizations of regularity and, in particular, shows that such ideals satisfy the torsion condition of a long-standing conjecture of Huneke and Wiegand.

中文翻译:

最大理想的力量和(共)同源性的消失

我们证明了可交换的诺特局部环的最大理想的每个正幂都是 Tor 刚体和强刚体。这给出了规律性的新特征,特别是表明,这种理想满足 Huneke 和 Wiegand 长期猜想的扭转条件。
更新日期:2020-01-10
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