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Isomorphism of a polynomial ring $F[x]$.

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#abstract-algebra #ring-isomorphism
427
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Isomorphism from $\mathbb{Z}[x]/(x^2 +x +1)$ to the Eisenstein integers

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#abstract-algebra #ring-isomorphism
512
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Is $\mathbb{Z}[x]/(x^2+2x+1)$ isomorphic to a product of non-trivial rings?

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#abstract-algebra #ring-theory #idempotents #ring-isomorphism
314
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Identifying $ \mathbb{R}[x]/(x^2+k) $ for $k<0$ and $k>0$

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#abstract-algebra #ring-theory #field-theory #ring-isomorphism
203
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An application of isomorphism theorem for quotient rings

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#abstract-algebra #ring-theory #ideals #ring-isomorphism
72
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Proving lack of isomorphism between two rings

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#abstract-algebra #ring-theory #ring-isomorphism
69
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Is max-plus semiring isomorphic to $\mathbb{R_{+}}$

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#abstract-algebra #ring-theory #semiring #ring-isomorphism
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Identify the ring $\mathbb {Z}[i]/(2 + i) $

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#abstract-algebra #ring-theory #ring-isomorphism
213
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Computing the Kernel of an Epimorphism

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#abstract-algebra #ring-theory #ideals #ring-isomorphism
348
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Structure of $\mathbb{Z}[x]/(x^2+3,p)$ for $p=3$ and $p=5$

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#ring-theory #ring-isomorphism
47
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Two rings A and B are isomorphic. Then $End_A(M) \cong End_B(M)$ for every A and B Modul M.

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#abstract-algebra #ring-theory #modules #ring-isomorphism
60
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Proof verification: Deciding if 3 rings are isomorphic

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#abstract-algebra #ring-theory #ring-isomorphism
650
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$\mathbb{Q}[\sqrt n]$ is isomorphic to the field of fractions of $\mathbb{Z}[\sqrt n]$

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#abstract-algebra #functions #ring-isomorphism
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Hom of the direct product of $\mathbb{Z}_{n}$ to the rationals is nonzero.

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#abstract-algebra #ring-theory #modules #ring-homomorphism #ring-isomorphism
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Surjective ring morphism $f:R\to R$ satisfies Ker$(f^{n+1})\subset $ Ker$(f^n)$ then $f$ is injective.

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

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