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May
13
revised What are some examples of principal, proper ideals that have height at least $2$?
edited tags
May
13
revised What are some examples of principal, proper ideals that have height at least $2$?
edited body
May
12
answered The Dimension Sequence of a Ring
May
11
awarded  Proofreader
May
11
reviewed Approve Area of a triangle from some of its parts
May
9
reviewed Approve Using the Newton-Quotient
May
9
reviewed Leave Open $α_{ij}α_{kh} = α_{ih}$ if $j = k$, $σ_0$ otherwise . There exists a basis of $V$ such that $α_{jk}(v_i) = v_j$ if $i = k$, $0_V$ otherwise
May
9
reviewed Close Diffeomorphism ( differential geometry)
May
9
reviewed Close Solve the integral $\int \frac{\sinh\left(x\right)-2}{2\sinh\left(x\right)+\cosh\left(x\right)}dx$
May
9
reviewed Leave Open What is the maximum number of $15 cm\times 15 cm$-square I can cut from a diameter $50 cm$- circle?
May
9
reviewed Close Prove or disprove the following statements
May
9
reviewed Leave Open Background required to understand the mathematical definition of knots and their transformations
May
9
reviewed Leave Open Complex integration along a square box — is | * | absolute value or modulus?
May
9
asked When do the Nakano identities hold?
May
7
answered De Rham-Weil theorem
May
6
reviewed Close Solve the integral $\int \frac{xdx}{\sqrt{1+\sqrt[3]{x^2}}}$
May
6
reviewed Looks OK How to calculate difference between two points in some values?
May
5
comment Sheafification, stalks and quotient
@user198182 You're welcome. I would say that both things are very straightforward to prove and could reasonably be said to be obvious. I try and avoid saying it where possible since something being obvious is always relative. But I'm glad it was helpful!
May
5
answered Sheafification, stalks and quotient
May
3
comment Localizing and taking degree zero commutes with tensor product
I don't think this is true in general when the degree of $f$ is not $1$, since then we need not have $(M_f\otimes_{S_f} N_f)_{(0)}\cong M_{(f)}\otimes_{S_{(f)}}N_{(f)}$. For example, if $f = X_1^2$, then $m\otimes n / X_1^2$ is in the former but not necessarily in the latter. Perhaps I am mistaken but I have seen several sources claim that this is an isomorphism specifically for $deg(f) = 1$.