2 citations · 3 across the 5 of their papers we have counts for
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On the radical of a monomial ideal
Juergen Herzog, Yukihide Takayama, Naoki Terai
Algebraic and combinatorial properties of a monomial ideal and its radical are compared.
A generalized Hochster's formula for local cohomologies of monomial ideals
Yukihide Takayama
The Hilbert series of local cohomologies for monomial ideals, which are not necessarily square-free, is established. As applications, we give a sharp lower bound of the non-vanishi…
Ideals whose associated graded rings are isomorphic to the base rings
Yukihide Takayama
Let be a field. We determine the ideals in a finitely generated graded -algebra , whose associated graded rings are isomorphic to . Also we compute the graded loca…
B-sequence and approximations of generalized Cohen-Macaulay ideals
Yukihide Takayama
We introduce the notion of b-sequence for finitely generated modules over Noetherian rings, which characterizes long Bourbaki sequences. Our main concern is an application of this…
Single spot ideals of codimension 3 and long Bourbaki sequences
Yukihide Takayama
Let K be a field and S = K[x1,...,xn] be a polynomial ring. A single spot ideal I =< S is a graded ideal whose local cohomology H^i_\mm(S/I), i< dim S/I and \mm = (x1,...,xn), only…
Resolutions by mapping cones
Juergen Herzog, Yukihide Takayama
In this paper we study resolutions which arise as iterated mapping cones.