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Should the natural homomorphism of field extensions $i: k \to F$ in this proposition be written as $k \to k[x] \to F$ or $k \to k[t] \to F$?

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#abstract-algebra #polynomials #ring-theory #field-theory #extension-field
258
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About continuous functions on a compact Hausdorff space.

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#general-topology #ring-theory #continuity #compactness
102
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On cardinality of generators

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#ring-theory #modules #ideals #cardinals
124
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Units of $\mathbb{Z[\sqrt2]}$

Published on
#ring-theory
88
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Mutual indivisibility and ideals

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#abstract-algebra #ring-theory #unique-factorization-domains
108
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Strange result on the nilradical $N(R)$ of a ring

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra #nilpotence
138
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Proving that $N(R)\times N(S)= N(R\times S)$

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#abstract-algebra #ring-theory #noncommutative-algebra #nilpotence
153
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$\gcd \cdot \mathrm{lcm}$ in a commutative ring with zero divisors

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#abstract-algebra #ring-theory #ideals #gcd-and-lcm
89
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Polynomials that are divisible by two numbers only.

Published on
#functions #ring-theory
210
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Injection and surjection to a finite dimensional free module

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#abstract-algebra #ring-theory #modules #free-modules
564
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Module as a functor

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#abstract-algebra #ring-theory #category-theory #modules #functors
56
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Question about Hochschild extension

Published on
#ring-theory #commutative-algebra #homological-algebra
194
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Surjectivity of map between finitely generated $A$-modules.

Published on
#ring-theory #commutative-algebra #modules #tensor-products
399
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How to determine if an ideal is prime

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals
300
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A ring with $8$ elements

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#abstract-algebra #ring-theory

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