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Dual basis for projective module

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#ring-theory #commutative-algebra #modules
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Integral domain with Noetherian spectrum and algebraically closed fraction field

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#commutative-algebra #field-theory #noetherian #krull-dimension #integral-extensions
790
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Rank of free module and its free submodule

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#ring-theory #commutative-algebra #modules
28
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Comparing localizations at prime ideals for a finite ring homomorphism

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#commutative-algebra
66
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$1+m$ with $m\in (t_1,\ldots, t_n)$ is a unit in $K[[t_1,\ldots,t_n]]$

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#abstract-algebra #commutative-algebra
153
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Existence of hollow ideal in commutative rings

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#abstract-algebra #ring-theory #commutative-algebra
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Is $\mathbb{C}[q,q^{-1}]/(q-1)\mathbb{C}[q,q^{-1}] = \mathbb{C}$?

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#abstract-algebra #commutative-algebra
116
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Can you explain this power-series factorization?

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#abstract-algebra #algebraic-geometry #commutative-algebra
53
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Prove $(R[X]/PR[X])_Q$ is a regular local ring

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#commutative-algebra
418
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Irreducible components of algebraic affine varieties

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#algebraic-geometry #commutative-algebra
466
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Finiteness of prime ideals in Dedekind domains

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#ring-theory #commutative-algebra #algebraic-number-theory #maximal-and-prime-ideals #dedekind-domain
112
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The global dimension of the localization ring of a complete local ring at a prime ideal of its subring

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#commutative-algebra
231
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Every minimal prime ideal in tensor product of $k$-algebras lies over $0$ in Noether normalization

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#algebraic-geometry #commutative-algebra
92
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Prove (projective$\Rightarrow$flat) using Lambek's criterion

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#commutative-algebra
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Krull-Dimension of $k[X, Y , Z]/(Y-Z^2, XZ-Y^2)$

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#commutative-algebra #krull-dimension #polynomial-rings

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