Zero divisors of $C[0,1]$
117777
What are the zero divisors of $C[0,1]$?
81743
Prime ideals in $C[0,1]$
44689
Explicit bijection between $[0,1)$ and $(0,1)$
84751
How can it be possible to localize a ring at a set with zero divisors?
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
116630
Antiderivative $1/z$ on $\mathbb C$
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
109721
The number of zeros in a polynomial
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
18066
Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
68807
How to show that the ring $S/A$ has no zero divisors? (Hungerford, Algebra, Problem 12, Chapter III, Section 2)
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
34206
Quadratic form under $\mathbb{C}$ finite-dimension vector space always have a nonzero vector that yields zero?
15886
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
26989
Show that C[0,1] is a vector space