TY - JOUR
T1 - Generalized intersection multiplicities of modules
AU - Dutta, Sankar P.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1983/4
Y1 - 1983/4
N2 - In this paper we study intersection multiplicities of modules as defined by Serre and prove that over regular local rings of dim ≤ 5, given two modules M, N with (FOUMULA PRESENTED). We also study multiplicity in a more general set up. Finally we extend Serre’s result from pairs of modules to pairs of finite free complexes whose homologies are killed by In, Jn, respectively, for some n > 0, with dim R/I + dim R/J < dim R.
AB - In this paper we study intersection multiplicities of modules as defined by Serre and prove that over regular local rings of dim ≤ 5, given two modules M, N with (FOUMULA PRESENTED). We also study multiplicity in a more general set up. Finally we extend Serre’s result from pairs of modules to pairs of finite free complexes whose homologies are killed by In, Jn, respectively, for some n > 0, with dim R/I + dim R/J < dim R.
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U2 - 10.1090/S0002-9947-1983-0688968-4
DO - 10.1090/S0002-9947-1983-0688968-4
M3 - Article
AN - SCOPUS:0005553902
SN - 0002-9947
VL - 276
SP - 657
EP - 669
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 2
ER -