Derived functors and Hilbert polynomials
2002 ◽
Vol 132
(1)
◽
pp. 75-88
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Keyword(s):
Let R be a commutative Noetherian ring, I an ideal, M and N finitely generated R-modules. Assume V(I) [xcap ] Supp (M) [xcap ] Supp (N) consists of finitely many maximal ideals and let λ(Exti(N/InN, M)) denote the length of Exti(N/InN, M). It is shown that λ(Exti(N/InN, M)) agrees with a polynomial in n for n [Gt ] 0, and an upper bound for its degree is given. On the other hand, a simple example shows that some special assumption such as the support condition above is necessary in order to conclude that polynomial growth holds.
1988 ◽
Vol 53
(1)
◽
pp. 284-293
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Keyword(s):
2015 ◽
Vol 58
(3)
◽
pp. 664-672
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2018 ◽
Vol 17
(12)
◽
pp. 1850230
2018 ◽
Vol 17
(10)
◽
pp. 1850184
◽
Keyword(s):
1979 ◽
Vol 85
(3)
◽
pp. 431-437
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1991 ◽
Vol 113
(4)
◽
pp. 425-429
◽
Keyword(s):
2018 ◽
Vol 167
(02)
◽
pp. 229-247
Keyword(s):
2018 ◽
Vol 55
(3)
◽
pp. 345-352
Keyword(s):