Add to ORKGWe know from the Hilbert Basis Theorem that any ideal in a polynomial ring over a field is finitely generated [3]. However, there remains question as to the best generators to choose to describe the ideal. Are there generators for a polynomial ideal I that make it easy to see if a given polynomial f belongs to I? For instance, does 2x2z2+2xyz2+2xz3+z3−1 belon
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
We give a constructive proof showing that every finitely generated polynomial ideal has a Gröbner ba...
chain conditions We have not yet established that Gröbner bases exist, or even that each ideal of k...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1,...,xn] is a nonempty set closed under addition satisfying hf _...
An ideal I in a polynomial ring k[x1,...,xn] is a nonempty set closed under addition satisfying hf _...
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis c...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
This thesis gives background information on algebra and Gröbner bases to solve the following problem...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
We give a constructive proof showing that every finitely generated polynomial ideal has a Gröbner ba...
chain conditions We have not yet established that Gröbner bases exist, or even that each ideal of k...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
An ideal I in a polynomial ring k[x1,...,xn] is a nonempty set closed under addition satisfying hf _...
An ideal I in a polynomial ring k[x1,...,xn] is a nonempty set closed under addition satisfying hf _...
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis c...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
This thesis gives background information on algebra and Gröbner bases to solve the following problem...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
We present an algorithm for determining whether an ideal in a polynomial ring is prime or not. We us...
We give a constructive proof showing that every finitely generated polynomial ideal has a Gröbner ba...
chain conditions We have not yet established that Gröbner bases exist, or even that each ideal of k...