Unit sum numbers of right self-injective rings
Unit sum numbers of right self-injective rings

Some known results on polynomial factorization over towers of field
Some known results on polynomial factorization over towers of field

contact email: donsen2 at hotmail.com Contemporary abstract
contact email: donsen2 at hotmail.com Contemporary abstract

Math 5c Problems
Math 5c Problems

Document
Document

Document
Document

bzat5e_03_03
bzat5e_03_03

12 The Maximal Ring of Quotients.
12 The Maximal Ring of Quotients.

test3
test3

Other Approaches to 102 Linear algebra, Groups and polynomials
Other Approaches to 102 Linear algebra, Groups and polynomials

Math 230 – 2003-04 – Assignment 2 Due
Math 230 – 2003-04 – Assignment 2 Due

A finite separating set for Daigle and Freudenburg`s counterexample
A finite separating set for Daigle and Freudenburg`s counterexample

Full text
Full text

... rational field Q. Using an appropriate norm on Q(\/E)9 we also find all solutions to the Diophantine equation x2 - 5y2 = ±4 and solve a certain binomial coefficient equation. Except for the definitions of basic algebraic structures, the treatment is self-contained, and so should also serve as a brie ...
Algebra 1 Unit 3: Systems of Equations
Algebra 1 Unit 3: Systems of Equations

MATH20212: Algebraic Structures 2
MATH20212: Algebraic Structures 2

(January 14, 2009) [16.1] Let p be the smallest prime dividing the
(January 14, 2009) [16.1] Let p be the smallest prime dividing the

Using Our Tools to Solve Polynomials
Using Our Tools to Solve Polynomials

4 Ideals in commutative rings
4 Ideals in commutative rings

On the Prime Ideals in a Commutative Ring
On the Prime Ideals in a Commutative Ring

Unit 3B Notes: Graphs of Polynomial Functions
Unit 3B Notes: Graphs of Polynomial Functions

PDF on arxiv.org - at www.arxiv.org.
PDF on arxiv.org - at www.arxiv.org.

MAXIMAL AND NON-MAXIMAL ORDERS 1. Introduction Let K be a
MAXIMAL AND NON-MAXIMAL ORDERS 1. Introduction Let K be a

Another Look at Square Roots and Traces (and Quadratic Equations
Another Look at Square Roots and Traces (and Quadratic Equations

Testing Algebraic Structures Using A Computer Program
Testing Algebraic Structures Using A Computer Program

Division of Polynomials
Division of Polynomials

Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field. Polynomial rings have influenced much of mathematics, from the Hilbert basis theorem, to the construction of splitting fields, and to the understanding of a linear operator. Many important conjectures involving polynomial rings, such as Serre's problem, have influenced the study of other rings, and have influenced even the definition of other rings, such as group rings and rings of formal power series.A closely related notion is that of the ring of polynomial functions on a vector space.