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Universal property for rings of fractions

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#abstract-algebra #universal-property
286
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Viewing $\mathbb{Q}_p/\mathbb{Z}_p$ as a direct limit

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#abstract-algebra #p-adic-number-theory #universal-property
530
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Universal properties of $\mathbb Z$

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#abstract-algebra #universal-property
134
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The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E

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#abstract-algebra #semigroups #monoid #universal-property #morphism
308
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The variety generated by a free algebra

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#abstract-algebra #logic #first-order-logic #universal-algebra #universal-property
27
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When do equalizers preserve epis?

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#category-theory #universal-property #diagram-chasing
356
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Coproduct of abelian groups

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#category-theory #abelian-groups #direct-sum #universal-property
99
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Categories with $C \times 0 \cong 0$ for all objects $C$

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#category-theory #products #topos-theory #universal-property
1.3k
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Trying to understand the definition of a universal property

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#category-theory #limits-colimits #universal-property #slice-category
479
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Cokernel within the Category of Groups

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#abstract-algebra #group-theory #category-theory #group-homomorphism #universal-property
103
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Product projections are a universal arrow?

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#category-theory #definition #universal-property
84
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Is the image a universal object?

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#category-theory #universal-property #monomorphisms
571
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How does the Universal Mapping Property encode “no-junk” and “no-noise” in a free monoid?

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#category-theory #definition #monoid #universal-property
175
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Kernel of group epimorphism with finitely presented is the normal closure of a finite subset .

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#abstract-algebra #group-theory #universal-property #combinatorial-group-theory
43
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There is a unique map $P \to \text{Hom}(A, \prod_i C_i)$ whenever $P \xrightarrow{p_i} \text{Hom}(A, C_i)$?

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#category-theory #products #universal-property #hom-functor

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