New posts in groebner-basis

Is the inverse of $(x+y, zw+z+w, y^2)\subset Q[x,y,z,w]$ under inclusion $g: Z[x,y,z,w]\to Q[x,y,zw]$ in $Z[x,y,z,w]$ still be $(x+y, zw+z+w, y^2)$?

algebraic-geometry commutative-algebra groebner-basis

Is a minimal Gröbner Basis a minimal system of generators?

algebraic-geometry commutative-algebra modules groebner-basis graded-modules

Basic question about S-polynomial example

Suppose $G$ and $G'$ are grobner bases for the ideal $I$. Show that $\overline{f}^{G} = \overline{f}^{G'}$ for $f \in k[x_1, \cdots, x_n]$

algebraic-geometry groebner-basis

Prove that determinant of a matrix (with polynomial entries) is non-zero

combinatorics polynomials determinant groebner-basis

Applications of Gröbner bases

abstract-algebra applications groebner-basis

Using Gröbner bases for solving polynomial equations

algebraic-geometry polynomials commutative-algebra conic-sections groebner-basis