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Abstract Algebra proof about Rings that contain functions

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#abstract-algebra #ring-isomorphism
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isomorphic quotient rings?

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#abstract-algebra #ring-theory #ring-isomorphism
515
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Endomorphism of a rings

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#abstract-algebra #ring-theory #noetherian #ring-isomorphism #morphism
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R[x]/(x^4+1) isomorphic to direct sum of complex numbers

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#abstract-algebra #ring-theory #complex-numbers #quotient-spaces #ring-isomorphism
375
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Application of Chinese Remainder Theorem to Ring Isomorphism

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#abstract-algebra #ring-theory #chinese-remainder-theorem #gaussian-integers #ring-isomorphism
366
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Is F[x] isomorphic to Z for any field F?

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#abstract-algebra #polynomials #ring-theory #field-theory #ring-isomorphism
37
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$\mathbb{K}[[x,y]]/\langle\, f\,\rangle \cong \mathbb{K}[[x]],\mathbb{K}[[y]]$. in formal power series ring

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#ring-theory #formal-power-series #ring-isomorphism
88
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Ring Homomorphism in field of rational functions of x and y with rational coefficients

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#abstract-algebra #ring-theory #ring-isomorphism
100
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Significance of unity in ring for isomorphism

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#abstract-algebra #ring-theory #ring-isomorphism
1.1k
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Prove that $R/I$ and $S/\phi(I)$ are isomorphic

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#abstract-algebra #ring-theory #ideals #ring-homomorphism #ring-isomorphism
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Factor ring of polynomial ring with coefficients in $\mathbb{Z}_{n}$.

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#abstract-algebra #polynomials #ring-theory #ring-isomorphism
29
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Finding an isomorphism between finite fields of same order, but different construction.

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#finite-fields #group-isomorphism #ring-isomorphism
146
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First Isomorphism Theorem (another)

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#abstract-algebra #ring-theory #field-theory #ring-isomorphism
53
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Looking for an example of quotient ring isomorphism.

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#abstract-algebra #ring-isomorphism
57
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If R[X] isomorphic to S[X] then R isomorphic to S?

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#abstract-algebra #ring-theory #ring-isomorphism

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