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List Question

Finitely generated as a module implies f.g. as an algebra

algebraic geometry/ Hartshorne exercises

Products of Determinantal Ideals

Extension of linearly independent set to a basis of a free module over a quotient of a Dedekind domain

The field of fractions of $\mathbb{R}[x,y]/(x^2+y^2-1)$ is $\mathbb{R}(x)[y]/(x^2+y^2-1)$

Why $k[[x^2,x^3]]$ is dimension 1 obvious?

How to prove $\mathcal O_X(m)\otimes_{\mathcal O_X} \mathcal O_X(n)= \mathcal O_X(m+n)$?

The associated graded ring of the localization $k[x_1,\dots,x_n]_{(x_1,\dots,x_n)}$

Show that if the height of a prime ideal is zero, then it is a prime ideal belonging to 0

Free algebra implies free module

Big subalgebras of the free polynomial algebra

Characterization of the integral closure of an ideal in a domain (Exercise 4.14 in Eisenbud)

Place at infinity in function fields

Computing ideal of initial forms

$M[x_1,...,x_n]\cong M\otimes_RR[x_1,...,x_n]$

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