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Jun
8
awarded  Caucus
May
17
awarded  Popular Question
Feb
22
comment If $A,B\in M(2,\mathbb{F})$ and $AB=I$, then $BA=I$
The downvote was from me. Though what you have written is mathematically correct, it does not answer the OP's question as stated.
Feb
20
awarded  Nice Question
Feb
2
answered Is there a “canonical” representation of integers using numbers other than primes?
Jan
28
comment Find members of this field.
To find -1 in $\mathbb{Z}_5$, recall that the symbol "-1" stands for the (unique) element which, when added to 1, yields zero. You only have five possibilities to check. (The problem of finding 1/3 in $\mathbb{Z}_7$ is similar.)
Jan
16
comment truth table equivalency
I believe that ~ is the "not" operator.
Dec
14
awarded  Yearling
Dec
13
awarded  Civic Duty
Dec
3
awarded  Enlightened
Dec
3
awarded  Nice Answer
Nov
29
comment functional equation uniqueness $f(x^{2})= f(x)^{2} $ in $\mathbb{C}$ and $f(x)+f''(x) = 0 $ in $\mathbb{C}$
@ccc: the problem statement requires that $f$ be holomorphic.
Nov
14
comment Was it an even deal for me?
Completely changing the question after posting it (without leaving any hint that the question has changed) is considered bad form.
Sep
28
accepted Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
Sep
28
revised Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
added 157 characters in body
Sep
27
revised Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
added 123 characters in body
Sep
27
comment Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
@Pierre-Yves Gaillard: Thanks for the suggestion. I have added the author's name. The book is part of the Graduate Studies in Mathematics series.
Sep
27
revised Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
added 16 characters in body
Sep
27
revised Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
edited body
Sep
27
comment Why are the centers of $R$ and $\text{End}_{\text{Ab}}(R)$ isomorphic?
Well that's strange. I can't see any error in what you wrote; have I misunderstood the exercise? Here is the text exactly as it appears: "2.17. Let $R$ be a ring, and let $E = \text{End}_{\text{Ab}}(R)$ be the ring of endomorphisms of the underlying abelian group $(R, +)$. Prove that the center of $E$ is isomorphic to the center of $R$."