Geodesic
POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY
Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 1-5

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DOI

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. 
CELIKBAS, OLGUR; TAKAHASHI, RYO. POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY. Glasgow mathematical journal, Tome 63 (2021) no. 1, pp. 1-5. doi: 10.1017/S0017089519000466
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     title = {POWERS {OF} {THE} {MAXIMAL} {IDEAL} {AND} {VANISHING} {OF} {(CO)HOMOLOGY}},
     journal = {Glasgow mathematical journal},
     pages = {1--5},
     year = {2021},
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     doi = {10.1017/S0017089519000466},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000466/}
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