Geodesic
Gorenstein quotients by principal ideals offree Koszul homology
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 51-54

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Let A be anoetherian local ring, x a non-unit element of A,B=A/(x). Let E be the Koszul complex associated to anarbitrary set of generators of the ideal (x) of A. Assume thatH1(E) is a free B-module. Then Ais Gorenstein if and only if B isalso.1991 Mathematics Subject Classification 13H10, 13D03. 
SOTO, JOSÉ J.M. Gorenstein quotients by principal ideals offree Koszul homology. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 51-54. doi: 10.1017/S0017089500010077
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