prove graded reverse lexicographic is a well ordering

Using Algebraic Geometry – David A. Cox, John Little, Donal O’Shea – Google Books.

prove graded reverse lexicographic is a well ordering

Using Algebraic Geometry – David A. Cox, John Little, Donal O’Shea – Google Books.

spectral theorem: http://youtu.be/WBqxm4y-Ejg

http://www.mathwords.com/p/permutation_formula.htm

math teacher Gregory Reese technologyisforkids.com

Product of two finite order matrices is an infinite order matrix

http://en.m.wikipedia.org/wiki/Rotation_matrix

math teacher Gregory Reese technologyisforkids.com

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring\’s multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said to have characteristic zero if this sum never reaches the additive identity.

That is, char(R) is the smallest positive number n such that

underbrace{1+cdots+1}_{n text{ summands}} = 0

if such a number n exists, and 0 otherwise.

via Characteristic (algebra) – Wikipedia, the free encyclopedia.

For an arbitrary ring (R,+,cdot), let (R,+) be its additive group. A subset I is called a two-sided ideal (or simply an ideal) of R if it is an additive subgroup of R that \”absorbs multiplication by elements of R\”. Formally we mean that I is an ideal if it satisfies the following conditions:

(I,+) is a subgroup of (R,+)

forall x in I, forall r in R :quad x cdot r in I

forall x in I, forall r in R : quad r cdot x in I.

Equivalently, an ideal of R is a sub-R-bimodule of R.