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May
13
revised Show that in a right artinian ring $R$, every prime ideal is a maximal ideal.
added 131 characters in body
May
13
answered Show that in a right artinian ring $R$, every prime ideal is a maximal ideal.
May
13
comment How do I get the rotation between two rotationmatrices?
How can anyone figure out where you went wrong in your work if you don't share it? Did you have a particular pair of matrices you want to see as an example?
May
12
comment Non-Commutativity Implies Non-Associativity?
@KevinMeredith For rings, the terms commutative and associative always apply to the multiplication. (Division is of course not associative, and is not what I am talking about.)
May
12
revised Non-Commutativity Implies Non-Associativity?
added 250 characters in body
May
12
answered Non-Commutativity Implies Non-Associativity?
May
11
comment Unit or (Left/right zero) divisior
Please use the search feature before asking.
May
11
comment Proving something it NOT and integral domain
@Bry If you bothered to use the search function, you would have found confirmation at a question entitled "Prove R×R is NOT an integral domain."
May
11
comment Given a ring with unity and a central idempotent element e, prove some isomorphic relations
Dear @jgon : It is certainly possible to do it in the order suggested in the OP. But since you can prove the ring decomposes into two pieces elementarily, and then the two quotient ring isomorphisms follow immediately from the first isomorphism theorem, it seems objectively simpler to do it in the order I'm describing. Doing it in the other order provides an application of the CRT, but it is slightly harder. Regards.
May
11
comment Given a ring with unity and a central idempotent element e, prove some isomorphic relations
It would make much more sense to prove $R\cong Re\times R(1-e)$ and then subsequently prove the two quotient isomorphisms.
May
11
answered how to tell if a ring is noetherian
May
11
revised Can I say that $R= Rr + I$?
added 37 characters in body
May
11
revised Can I say that $R= Rr + I$?
added 1 character in body
May
11
answered Can I say that $R= Rr + I$?
May
11
comment algebraically closed fields of characteristic 0 and $\mathbb{C}$
@whacka I think you must mean to qualify over infinite cardinalites and omit the finite ones. Regards
May
8
comment On Learning Tensor Calculus
Hmm.. then your plan to pursue the physics route is probably the best for you. Personally, of the handful of books on the topic that I've read which were written by physicists, I found them to be the least readable and most confusing. I think it's just a discipline thing, though. Apparently physicists can follow them, and I imagine they say similar things about texts written by mathematicians.
May
8
comment On Learning Tensor Calculus
Which is stronger: your mathematics background or your physics background?
May
8
comment On Learning Tensor Calculus
I would have immediately suggested that linear algebra and multivariable calculus would be invaluable, and the other two certainly will be helpful. Have you already done a little research on what books you might use?
May
7
answered Basic rings (e.g. non commutative) $A$ such $A^n \simeq A^m$ and $n\neq m$
May
7
comment Basic rings (e.g. non commutative) $A$ such $A^n \simeq A^m$ and $n\neq m$
Perhaps you could clarify what structures (as rings or as modules etc) you want things things to be considered as. Right now it's a little ambiguous what you intend your examples to do.