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Apr
30
comment $R$ be a commutative ring with unity such that every surjective ring homomorphism $f:R\to R$ is injective , then is $R$ Noetherian?
@CaptainLama : That was my mistake as well.. I should have used better words.. :) your example is a nice one..
Apr
30
comment $R$ be a commutative ring with unity such that every surjective ring homomorphism $f:R\to R$ is injective , then is $R$ Noetherian?
@CaptainLama : I was asking the user..
Apr
28
comment $R$ be a commutative ring with unity such that every surjective ring homomorphism $f:R\to R$ is injective , then is $R$ Noetherian?
Can you give an example of a ring $R$ and a surjective homomorphism that is not injective?
Apr
20
awarded  Popular Question
Apr
13
awarded  Popular Question
Apr
12
comment function analytic in the entire complex plane is constant
This is a genuine question.. What was the reason for down vote??
Apr
1
comment Complex conjugates
How is this different from cello's answer...?
Mar
29
comment Find $x$ in the equation $x^x = n$ for a given $n$
Have you tried solving this for small $n$ say $n=2$?
Mar
13
awarded  Popular Question
Mar
10
comment Sum and product of algebraic numbers
To be precise, you want to prove if $\alpha+\beta$ and $\alpha\beta$ are algebraic then $\alpha$ and $\beta$ are algebraic over $K$..
Mar
9
comment Finding a subgroup and left cosets of H in $S_4$
$\left<a\right>$ means subgroup generated by $a$
Mar
5
comment Show $f$ is differentiable at the endpoint with $a$ with $f'(a)=c$
i mean $x\rightarrow a^+$ always
Mar
5
comment If $\sum_{n=-2}^{\infty}\cos^n x=8$, then find $x.$
How is this different from the hint that user Daniel Fischer has given?
Mar
5
comment If $\sum_{n=-2}^{\infty}\cos^n x=8$, then find $x.$
To say $-1<\cos x<1$ you do not need to have such strong condition of that sum..
Mar
5
answered Show $f$ is differentiable at the endpoint with $a$ with $f'(a)=c$
Mar
2
awarded  Notable Question
Feb
29
awarded  Notable Question
Feb
21
revised How to show path-connectedness of $GL(n,\mathbb{C})$
deleted 124 characters in body
Feb
21
revised How to show path-connectedness of $GL(n,\mathbb{C})$
added 196 characters in body
Feb
21
awarded  Necromancer