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proof that affine spaces are isomorphic to vector spaces?

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#vector-spaces #affine-geometry #vector-space-isomorphism
86
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How is the arithmetic multiplication related to tensor products?

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#arithmetic #tensor-products #tensors #vector-space-isomorphism
135
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Condition on linear transformations to be non-singular

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#vector-spaces #linear-transformations #vector-space-isomorphism
37
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Relation between quaternions, Pauli vectors and regular vectors

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#group-theory #vector-spaces #rotations #quaternions #vector-space-isomorphism
41
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Is $\Bbb R^2 \subset P^2$ by isomorphism?

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#vector-space-isomorphism
26
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Isomorphisms of the tensor product of $\mathcal{A}^N$

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#abstract-algebra #tensor-products #vector-space-isomorphism #morita-equivalence
17
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Algebraic meaning of the roots of a polynomial in the context of linear algebra, specifically linear transformation

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#linear-transformations #vector-space-isomorphism
86
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Are irreducible elements of the tensor product of a vector space equivalent to irreducible polynomials?

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#linear-algebra #ring-theory #tensor-products #irreducible-polynomials #vector-space-isomorphism
66
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Does $\mathbb{R}^n\times\mathbb{R}^m$ imply $\mathbb{R}^{n+m}$ mapping?

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#functions #vector-spaces #vector-space-isomorphism
66
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Show that the space of polynomials with real coefficients and $\mathbb{R}^{n+1}$ are isomorphic

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#linear-algebra #polynomials #linear-transformations #vector-space-isomorphism
93
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Isomorphism of a dual space

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#linear-algebra #banach-spaces #dual-spaces #vector-space-isomorphism
107
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Isomorphisms between sub division rings of degree $2$

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#field-theory #extension-field #vector-space-isomorphism #division-algebras
22
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Canonical isomorphism of $[\hom(V,W)]_{\mathbb{C}}\cong\hom(V_{\mathbb{C}},W_{\mathbb{C}})$

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#linear-algebra #vector-space-isomorphism
165
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Is $\mathbb{C}^{2}$ isomorphic to $\mathbb{C}$ over Rational numbers

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#logic #complex-numbers #vector-spaces #axiom-of-choice #vector-space-isomorphism
57
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Is this sufficient to show the two spaces are not isomorphic?

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#linear-algebra #solution-verification #vector-spaces #proof-writing #vector-space-isomorphism

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