Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Polynomial ring

Known as: Ring of polynomials, Integral polynomial, Free commutative ring 
In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
In analogy to cyclic codes, we study linear codes over finite fields obtained from left ideals in a quotient ring of a (non… Expand
Is this relevant?
Highly Cited
2004
Highly Cited
2004
Let C = F [x1, x2, . . . , xn] be the polynomial ring in the variables x1, x2, . . . , xn over a field F , and let AutC be the… Expand
Is this relevant?
Highly Cited
2001
Highly Cited
2001
We consider the problem of finding the unconstrained global minimum of a real-valued polynomial p(x): {\mathbb{R}}^n\to {\mathbb… Expand
Is this relevant?
Highly Cited
2000
Highly Cited
2000
In the first part of this thesis, we introduce a specific class of Linear Matrix Inequalities (LMI) whose optimal solution can be… Expand
  • figure 3.1
  • table 3.1
  • figure 3.2
  • table 3.2
  • figure 3.3
Is this relevant?
Highly Cited
1998
Highly Cited
1998
We describe NTRU, a new public key cryptosystem. NTRU features reasonably short, easily created keys, high speed, and low memory… Expand
Is this relevant?
Highly Cited
1993
Highly Cited
1993
This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one… Expand
Is this relevant?
Highly Cited
1988
Highly Cited
1988
We present an algorithm to compute the primary decomposition of any ideal in a polynomialring over a factorially closed… Expand
Is this relevant?
Highly Cited
1979
Highly Cited
1979
I. Symmetric functions II. Hall polynomials III. HallLittlewood symmetric functions IV. The characters of GLn over a finite field… Expand
  • table 1
Is this relevant?
Highly Cited
1972
Highly Cited
1972
If k is a field and X and Y are indeterminates then the statement “consider R = Iz[X, Y] as a polynomial ring in one variable” is… Expand
  • figure 2
  • figure 3
Is this relevant?
Highly Cited
1963
Highly Cited
1963
Let G be a group of linear transformations on a finite dimensional real or complex vector space X. Assume X is completely… Expand
Is this relevant?