When is R \ltimes I an almost Gorenstein local ring?

2017/04/20 by Goto, Shiro, Kumashiro, Shinya
#13H10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.05961

Abstract

Let (R, \mathfrakm) be a Gorenstein local ring of dimension d > 0 and let I be an ideal of R such that (0) ≠ I \subsetneq R and R/I is a Cohen-Macaulay ring of dimension d. There is given a complete answer to the question of when the idealization A = R \ltimes I of I over R is an almost Gorenstein local ring.

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