Quotient polynomial ring：Polynomial ring
Polynomial ring
Apolynomialringorpolynomialalgebraisaringformedfromthesetofpolynomialsinoneormoreindeterminates(traditionallyalsocalledvariables)。其他文章還包含有：「QuotientRingsofPolynomialRings」、「Howtodealwithpolynomialquotientrings」、「Quotientring」、「Polynomialringsandtheirquotients」、「Giveanintuitiveexplanationforpolynomialquotientring...」、「ArequotientsofpolynomialringsalmostUFDs?」、「quoti...
查看更多 離開網站
Quotient Rings of Polynomial Rings
https://sites.millersville.edu
Quotient Rings of Polynomial Rings. In this section, I'll look at quotient rings of polynomial rings. Let F be a field, and suppose $p(x) -in F[x]$ .
How to deal with polynomial quotient rings
https://math.stackexchange.com
You sum the classes normally, and as to the product, you first take the product, and then take the remainder of Euclidean division by x4+1.
Quotient ring
https://en.wikipedia.org
In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring [1] or residue class ring, is a construction
Polynomial rings and their quotients
https://www.ucl.ac.uk
Polynomial rings and their quotients. Given a ring R and an ideal I, we've seen many occurrences of the quotient ring. A = R/I. Since R has in particular the ...
Give an intuitive explanation for polynomial quotient ring ...
https://math.stackexchange.com
A polynomial q(x) is contained in the coset r(x)+I where I is the set of multiples of p(x). It is an expression in powers of x, where p(x)≡0 so ...
Are quotients of polynomial rings almost UFDs?
https://mathoverflow.net
No, quotients of polynomial rings are definitely not almost UFDs. Any finitely generated ring over K is such a quotient and this means a ...
quotient rings
https://macaulay2.com
For quotients of polynomial rings, a Gröbner basis is computed and used to reduce ring elements to normal form after arithmetic operations. i1 : R = ZZ/11 o1 = ...
POLYNOMIAL RINGS IN SEVERAL VARIABLES
http://home.iitk.ac.in
The quotient map q : R → R/I given by q(a) = a + I is a ring homomorphism with kernel I. Example 2.1 : Consider the ring C of convergent sequences of real ...