New definitions of joint reductions and mixed Buchsbaum-Rim multiplicities for modules are used to prove a joint-reduction-number-zero theorem for integrally closed modules over two-dimensional regular local rings.
Katz, Reduction criteria for modules, Comm
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Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem
New definitions of joint reductions and mixed Buchsbaum-Rim multiplicities for modules are used to prove a joint-reduction-number-zero theorem for integrally closed modules over two-dimensional regular local rings.