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Isomorphism of $F$-algebras

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#abstract-algebra #modules #tensor-products
66
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Is $M_n(R)$ Dedekind if $R$ is Dedekind?

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#abstract-algebra #matrices #ring-theory #dedekind-domain
67
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Why is $\langle S|-\rangle$ not isomorphic to $\langle T|R\rangle$

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#abstract-algebra #group-theory
203
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If $E= \mathbb{Q}(\sqrt{2} + \sqrt{7})$ Show that $E/\mathbb{Q}$ is a Galois Extension.

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#abstract-algebra #galois-theory #splitting-field #galois-extensions
304
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Frobenius group and conjugacy relation

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#abstract-algebra #group-theory #finite-groups #normal-subgroups #frobenius-groups
553
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If the $R$-module $M$ is finitely generated, but some generating set is not linearly independent, is $M$ not free?

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#linear-algebra #abstract-algebra #modules #finitely-generated
61
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Maximals ideals and Zariski Topology

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#abstract-algebra #algebraic-geometry
1.7k
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Finite abelian group generated by two elements

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#abstract-algebra #finite-groups #abelian-groups
153
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Proving lemma about centrality of idempotent elements in a Ring with no nilpotent elements.

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#abstract-algebra #ring-theory #proof-explanation #idempotents
404
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How to construct a fraction field from an integral domain?

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#abstract-algebra #ring-theory #definition
200
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Dual Representation, dimension mismatch?

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#abstract-algebra #representation-theory
341
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Does $R[[x]] \cong S[[x]]$ imply $R\cong S$

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#abstract-algebra #commutative-algebra #formal-power-series
60
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Reconstructing groups from conjugacy class sizes

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#abstract-algebra #group-theory #finite-groups
53
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Inclusion between submodules

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#abstract-algebra #modules
66
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Relationship between ideals of rings?

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#abstract-algebra #ring-theory #ideals #ring-homomorphism

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