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Can octonions be represented by infinite matrices?

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#abstract-algebra #matrices #representation-theory #octonions #nonassociative-algebras
33
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Universal multiplicative envelope $\mathfrak{U}(A) = \dfrac{T(A \oplus A_1)}{\mathfrak{R}}$

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#abstract-algebra #nonassociative-algebras
23
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Coordinatization Theorem Exemple

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#nonassociative-algebras #jordan-algebras
245
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Is this proof about Jordan algebra's correct?

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#abstract-algebra #solution-verification #nonassociative-algebras #jordan-algebras
164
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Are inverse unique in unital algebra?

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#abstract-algebra #ring-theory #associativity #nonassociative-algebras
42
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Looking for Nonassociative Algebra notes

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#reference-request #nonassociative-algebras
173
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What is the definition of derivation of tensor algebra?

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#linear-algebra #lie-algebras #nonassociative-algebras
59
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Power associative basis implies not nilpotent?

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#nilpotence #nonassociative-algebras #jordan-algebras
150
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Nonassociative algebra's closed under $\sqrt{}$?

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#abstract-algebra #radicals #hypercomplex-numbers #nonassociative-algebras #jordan-algebras
132
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Alternative algebra with division is a division ring

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#abstract-algebra #ring-theory #noncommutative-algebra #nonassociative-algebras #jordan-algebras
56
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Investigating and Generalizing Octonionic Nonassociativity

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#combinatorics #associativity #octonions #nonassociative-algebras
112
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Are there aspects of non-associative algebras which cannot be captured using Category Theory?

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#category-theory #nonassociative-algebras
52
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How many triples of mutually conjugate linear maps are there?

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#linear-algebra #abstract-algebra #matrices #representation-theory #nonassociative-algebras
145
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Do the Moufang identities *themselves* imply diassociativity / Moufang's theorem / Artin's theorem?

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#abstract-algebra #universal-algebra #magma #quasigroups #nonassociative-algebras
80
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"Algebraic dimension" for finite-dimensional (non-associative) algebras?

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#abstract-algebra #reference-request #noncommutative-algebra #dimension-theory-algebra #nonassociative-algebras

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