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Mixed multiplicities of multigraded modules
-
Duong Quoc Viet
and
Nguyen Tien Manh
Published/Copyright:
March 1, 2013
Abstract.
Let S be a finitely generated standard multigraded algebra over an Artinian local ring A, and let M be a finitely generated multigraded S-module. This paper answers the question when mixed multiplicities of M are positive and characterizes them in terms of lengths of A-modules. As an application, we get interesting results on mixed multiplicities of ideals, and recover some early results.
Received: 2010-05-25
Revised: 2011-03-05
Published Online: 2013-03-01
Published in Print: 2013-03-01
© 2013 by Walter de Gruyter Berlin Boston
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