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Use of canonical homomorphism in 1st Ring Isomorphism Theorem

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#ring-theory #ring-homomorphism #ring-isomorphism
73
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Showing an ideal is prime

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals #ring-isomorphism
123
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Quotient rings link to first isomorphism theorem

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#ring-theory #field-theory #integral-domain #ring-isomorphism
507
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Is R[x] a ring of functions or a ring of expressions?

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#abstract-algebra #polynomials #ring-theory #polynomial-rings #ring-isomorphism
159
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Does $K \subseteq L$ and $K \cong L \implies$ $K=L$?

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#ring-theory #field-theory #examples-counterexamples #ring-isomorphism
77
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How to show whether or not $\mathbb{Q}(\sqrt[4]{2}) \cong \mathbb{Q}(i \sqrt[4]{2})$?

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#field-theory #galois-theory #ring-isomorphism
152
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Is every non-commutative ring a subring of $\operatorname{End}(V)$ for some vector space $V$?

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#ring-theory #vector-spaces #noncommutative-algebra #ring-isomorphism
124
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Prove $(C,+,\cdot)$ is an isomorphic field to $\mathbb{C}$

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#abstract-algebra #field-theory #ring-isomorphism
1.5k
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Proving a ring isomorphism

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#abstract-algebra #ring-homomorphism #ring-isomorphism
132
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Exploring the isomorphisms of the group algebra $KG$

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#abstract-algebra #ring-theory #solution-verification #group-rings #ring-isomorphism
213
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Polynomial ring modulo ideal generated by linear factor

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#abstract-algebra #polynomials #ring-theory #ideals #ring-isomorphism
98
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A semiring isomorphic to a cartesian product of two semirings

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#abstract-algebra #ring-theory #ring-isomorphism #semiring
461
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Prove Quotient Ring is Isomorphic to Product of Fields

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#ring-theory #field-theory #ring-isomorphism
161
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non isomorphic algebraic sets

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#algebraic-geometry #polynomials #ring-isomorphism
211
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$\mathbb R[x]/(f)\cong\mathbb R\times\mathbb R$

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

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