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- W2947303312 abstract "Let $F$ be a non-negatively graded free module over a polynomial ring $mathbb{K}[x_1,dots,x_n]$ generated by $m$ basis elements. Let $M$ be a submodule of $F$ generated by elements in $F$ with degrees bounded by $D$ and dim $F/M$=$r$. We prove that if $M$ is graded, the degree of the reduced Grobner basis of $M$ for any term order is bounded by $2left[1/2((Dm)^{n-r}m+D) right]^{2^{r-1}}$. If $M$ is not graded, the bound is $2left[1/2((Dm)^{(n-r)^2}m+D) right]^{2^{r}}$. This is a generalization of Dube(1990) and Mayr-Ritscher(2013)'s bounds for ideals in a polynomial ring." @default.
- W2947303312 created "2019-06-07" @default.
- W2947303312 creator A5084494003 @default.
- W2947303312 date "2019-05-18" @default.
- W2947303312 modified "2023-09-27" @default.
- W2947303312 title "Grobner bases bounds for modules" @default.
- W2947303312 hasPublicationYear "2019" @default.
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