Let R=k[x1,..., xn] be a polynomial ring over a fieldk. We present a characterization of multigraded R-modules in termsof the minors of their presentation matrix. We describe explicitly thesecond syzygies of any multigraded R-module.
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机译:令R = k [x1,...,xn]是域k上的多项式环。我们根据其表示矩阵的次要来表征多级R-模块。我们明确描述了任何多级R-模块的第二个合音。
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