Recent content by DukeSteve

Hello Experts, I post this question here because in the homework topics there is no abstract algebra! Please help me I want to understand it: I have a ring R with unit. Also I am given n - natural number, I_n is the set {x in R: n*x = 0} I have to prove or refute: Given n, m natural...

Hello Experts, Again a Q and what I did, please tell me what I am doing wrong: Given that there is a ring of matrices above Z (integers) Mn(Z) and 2 ideals I, J of this ring. I need to prove that they are commutative: IJ = JI What I did is that: For all i in I and for all M in...

Ohh thanks a lot I just figured it out! Please excuse me if I answered before in a rude form, I didn't want to hurt you! Thank You very much!

Hello Experts, Here is the question, and what I did: Q: Given a ring with division D char(D) != 2, F = Centralizer of D (means that F becomes a field). Given that x in D isn't in F but x^2 is included in F. Needed to prove that there exists y in D and y*x*y^(-1) = -x and also that y^2...

Thanks a lot for this great explanation. It's really not from HW. Could you please do me a favor and explain why is this right: If I have D ring with division but not a field and it's char !=2. If I know that F is centralizer of D (that means F is a field) and I have x in D such that x^2...

It's not a hw, I just want to understand why it's right. If you don't have the answer just don't answer, let others answer it.

Hello Experts, Please tell me where can I download a PDF of: Edwards, C. H. (1994). Advanced Calculus of Several Variables. New York: Dover Publications. ISBN: 0-486-68336-2 (pbk.) 1994. I have the 1973 version. Please tell me 2 things: 1) Where can I download this, or if you...

Hello Experts, I can't find the proof of this theorems please help me: Given that there is a commutative ring R and 2 ideals I and J, also given that I is included in J I need to prove 1) radical of I is in radical of J 2) radical of radical of ideal I = radical of ideal I...