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relationship between Exact sequences and Universal mapping property

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#abstract-algebra #vector-spaces #exact-sequence #universal-property
521
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Using the universal property of tensor product to show that $(\Bbb{Z}/4\Bbb{Z}) \otimes (\Bbb{Z}/6\Bbb{Z})\cong \Bbb{Z}/2\Bbb{Z}$

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#abstract-algebra #modules #tensor-products #universal-property
1k
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How to prove the uniqueness of the universal property for vector spaces?

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#linear-algebra #abstract-algebra #universal-property
151
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Dual notion of the subspace topology

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#general-topology #algebraic-topology #category-theory #universal-property
1.1k
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Definition of a coproduct and its universal property - connection?

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#abstract-algebra #category-theory #products #universal-property
425
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Universal Property: do people study terminal objects in $(X\downarrow U)$?

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#category-theory #universal-property
1.6k
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Tensor product of function space and vector space

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#functional-analysis #category-theory #tensor-products #universal-property
70
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Mapping property of complex fraction field

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#abstract-algebra #proof-writing #universal-property
3.5k
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Universal object

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#category-theory #universal-property
72
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Given two matrices $A$ and $B$. If $A = B$, is $A_{ij} = B_{ij}$ always true?

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#linear-algebra #arithmetic #universal-property
608
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Presheaf category as free cocompletion

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#category-theory #universal-property
68
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When can we guarantee the existence of an object satisfying a given universal property, in purely category-theoretic terms?

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#category-theory #universal-property
67
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Coproduct in class of algebras with two nullary operations

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#universal-algebra #universal-property
263
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Bijection between tensors and multilinear maps for infinite dimensional case

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#linear-algebra #abstract-algebra #tensor-products #universal-property
157
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Smallest lattice containing a poset

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#order-theory #lattice-orders #universal-property

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