Determinantal ideals without minimal free resolutions
1990 ◽
Vol 118
◽
pp. 203-216
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Keyword(s):
Let R be a Noetherian commutative ring with, unit element, and Xij be variables with 1 ≤ i ≤ m and 1 ≤ j ≤ n. Let S = R[xij] be the polynomial ring over R, and It be the ideal in S, generated by the t × t minors of the generic matrix (xij) ∈ Mm, n(S). For many years there has been considerable interest in finding a minimal free resolution of S/It, over arbitrary base ring R. If we have a minimal free resolution P. over R = Z, the ring of integers, then R′ ⊗z P. is a resolution of S/It over the base ring R′.
Keyword(s):
2019 ◽
Vol 18
(06)
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pp. 1950118
2017 ◽
Vol 16
(01)
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pp. 1750018
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1996 ◽
Vol 19
(1)
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pp. 185-192
2019 ◽
Vol 29
(02)
◽
pp. 263-278
Keyword(s):
1990 ◽
Vol 49
(3)
◽
pp. 364-385
Keyword(s):
Keyword(s):
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