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math.AC2007★ 1 cited
An upper bound on the reduction number of an ideal
Yayoi Kinoshita, Koji Nishida, Kensuke Sakata +1
Let A be a commutative ring and I an ideal of A with a reduction Q. In this paper we give an upper bound on the reduction number of I with respect to Q, when a suitable family of i…
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_…