11 citations · 32 across the 32 of their papers we have counts for
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math.AC2017★ 4 cited
Characterization of generalized Gorenstein rings
Shiro Goto, Ryotaro Isobe, Shinya Kumashiro +1
The notion of generalized Gorenstein local ring (GGL ring for short) is one of the generalizations of Gorenstein rings. In this article, there is given a characterization of GGL ri…
math.AC2017★ 2 cited
When is an almost Gorenstein local ring?
Shiro Goto, Shinya Kumashiro
Let be a Gorenstein local ring of dimension and let be an ideal of such that and is a Cohen-Macaulay ring of dim…
math.AC2017★ 11 cited
Sally modules of canonical ideals in dimension one and 2-AGL rings
Tran Do Minh Chau, Shiro Goto, Shinya Kumashiro +1
The notion of 2-AGL ring in dimension one which is a natural generalization of almost Gorenstein local ring is posed in terms of the rank of Sally modules of canonical ideals. The…