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math.AC2011
Variation of the first Hilbert coefficients of parameters with a common integral closure
L. Ghezzi, S. Goto, J. Hong +3
A problem posed by Wolmer V. Vasconcelos on the variation of the first Hilbert coefficients of parameter ideals with a common integral closure in a local ring is studied. Affirmati…
math.AC2007★ 1 cited
The structure of Sally modules of rank one
Shiro Goto, Koji Nishida, Kazuho Ozeki
A complete structure theorem of Sally modules of $\fkm$-primary ideals in a Cohen-Macaulay local ring $(A, \m)$ satisfying the equality $\e_1(I)=\e_0(I)-\ell_A(A/I)+1$ is given…
math.AC2007
Sally modules of rank one
Shiro Goto, Koji Nishida, Kazuho Ozeki
The structure of Sally modules of $\fkm$-primary ideals in a Cohen-Macaulay local ring $(A, \m)$ satisfying the equality $\e_1(I)=\e_0(I)-\ell_A(A/I)+1$ is explored, where $\e_…