Praphulla Koushik
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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 $S_4$ $\left$ 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