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Integers as an F-algebra

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#category-theory #algebras
598
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The collection of half open half closed interval with empty set in $\mathbb{R}$ generated a semi-algebra

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#measure-theory #algebras #semialgebras
67
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is $\mathbb{Q}$ finitely generated as a $\mathbb{Z}_{(p)}$-algebra?

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#abstract-algebra #modules #localization #algebras
31
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Operation on ideals of Frobenius algebra

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#abstract-algebra #ring-theory #algebras
56
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Finding a polynomial ring embedded in a fg algebra over complex numbers

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#commutative-algebra #algebras #polynomial-rings
128
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What is the motivation for $R$-algebras?

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#abstract-algebra #ring-theory #algebras
36
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Why is the supremum of two functions smaller than the individual suprema

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#functional-analysis #algebras
33
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Showing the existence of a certain kind of extension of a finitely generated algebra

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#ring-theory #integral-domain #finitely-generated #algebras
43
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Difference between functors $\text{Hom}_B(-,B)$ and $\text{Hom}_{\mathbb C}(-,\mathbb C)$

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#modules #dual-spaces #functors #algebras #hom-functor
165
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Right adjoint of a monad is a comonad

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#category-theory #algebras #monads #coalgebras
27
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External doubling of a composition algebra

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#abstract-algebra #algebras
43
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A quotient of tensor algebra of $V \otimes k$

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#tensor-products #algebras
172
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$ \mathcal{F}_n = \sigma(\{0\},\{1\},\{2\}, \dots , \{n\})$ showing $\cup_{n\geq0} \mathcal{F}_n $ is not a sigma algebra

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#measure-theory #proof-explanation #solution-verification #borel-sets #algebras
266
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Homomorphism between polynomial algebras

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#abstract-algebra #commutative-algebra #algebras
488
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Why are rings with identity $\mathbb{Z}$-algebras?

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#abstract-algebra #ring-theory #algebras

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