Ask Your Question

franslag's profile - activity

2022-01-03 14:12:45 +0200 received badge  Nice Question (source)
2021-01-12 05:40:20 +0200 received badge  Popular Question (source)
2019-02-27 10:50:26 +0200 commented answer Quotient of non-commutative ring

This was helpful, thanks !!

2019-02-27 10:48:24 +0200 received badge  Scholar (source)
2019-02-17 08:30:59 +0200 received badge  Student (source)
2019-02-17 01:33:41 +0200 asked a question Quotient of non-commutative ring

I'm trying to make a non-commutative ring, where X^2 = -1 ; XY = -YX and Y^2 = 0, something like this ;

                               R[X,Y] / (X^2 + 1 , XY + YX , Y^2)

To get the non-commutative part, I did :

A.<x,y> = FreeAlgebra(QQ,2)

P.<x,y> = A.g_algebra(relations={yx:-xy})

What is the next command to have the quotient by (X^2+1 , Y^2) ? Or maybe an other way to build the entire ring, if there exists a simpler method :) thanks !