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- W1984879987 abstract "Let R be an algebra over a field k. We say that an ideal I of R is co-generated by a set F of k-linear functionals R → k if I is the largest ideal of R that is contained in the kernels of all the functionals in F;. We will state sufficient conditions for an ideal of a free k-algebra to be co-generated by finitely many functionals. We then get as a corollary that every ideal of the polynomial algebra over a field in finitely many variables is finitely co-generated. This is a known result, but the way we construct the co-generators in the general case, leads to that we get a tight bound on how many co-generators are needed for such ideals." @default.
- W1984879987 created "2016-06-24" @default.
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- W1984879987 date "2000-01-01" @default.
- W1984879987 modified "2023-09-25" @default.
- W1984879987 title "Co-generators for algebras over fields and commutative applications" @default.
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- W1984879987 doi "https://doi.org/10.1080/00927870008827075" @default.
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