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revised Algorithm design for enumerating pairs of noncommuting elements up to conjugacy
added tag for Magma CAS
Apr
15
comment Algorithm design for enumerating pairs of noncommuting elements up to conjugacy
+1 I wish I could accept both answers.
Apr
15
accepted Algorithm design for enumerating pairs of noncommuting elements up to conjugacy
Apr
14
comment Algorithm design for enumerating pairs of noncommuting elements up to conjugacy
Wait, I don't think I ever need to put in an $x,y$ from a singleton class, right? Since I am only interested in $x,y$ for which $[x,y]\neq 1$?
Apr
13
revised The Jacobson radical under maps
added qualification that answer is conditioned on $R,S$ being commutative, in view of egreg's comment.
Apr
13
comment The Jacobson radical under maps
Yes I am; I'll add a note.
Apr
13
asked Algorithm design for enumerating pairs of noncommuting elements up to conjugacy
Apr
13
comment Degree of an extension of $ \mathbb{Q} $
@krirkrirk - I am guessing that the OP didn't realize this.
Apr
13
comment Degree of an extension of $ \mathbb{Q} $
+1 I love this question. It's so thoughtful. It's clear you're new to this content but equally clear you're really interested in making sense of it for yourself.
Apr
13
comment The Jacobson radical under maps
@AnuragA - presumably the Jacobson radical of $R$ (in view of the question's title)?
Apr
13
answered The Jacobson radical under maps
Apr
6
awarded  Nice Answer
Apr
5
comment Abstract algebra question (1) order problem (2) ring problem
@AnuragA - beautiful fix! I think of the result the way you described in your answer (if an element is not a zerodivisor then multiplication by it is injective, hence surjective in finite case, hence it is a unit since 1 is in the image), but this argument explicitly constructs either the inverse or an element of the annihilator!
Apr
3
revised Repeating digits in $\pi$
added 452 characters in body
Apr
3
comment Repeating digits in $\pi$
@RaviKulkarni - A minor correction to my earlier comment - the theorem of Lindemann actually states that $\pi$ is not only irrational but transcendental. The theorem that $\pi$ is irrational is due to Lambert.
Apr
3
comment Does the ham sandwich theorem hold for dividing objects into thirds?
The original theorem seems to require the number of objects to be the dimension of the space.
Apr
1
answered Analytic functions on entire $\mathbb C$.
Mar
13
answered Find the product of $\alpha \beta $
Mar
7
answered What is an example of a module over a division ring with two different ranks?
Mar
7
revised Please check proof of Lagrange's theorem
added 46 characters in body