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Results tagged with ct.category-theory
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user 6414
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
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1
answer
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Kernel and cokernel
I'm having a little trouble understanding kernels and cokernels. Many authors refer to ''the'' kernel/coker of an arrow, when it's only unique up to an isomorphism on the domain for ker and codomain f …
- 161
7
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1
answer
432
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0
votes
1
answer
317
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The "skinnest" object
The subgroup generated by a set is found by taking the intersection of all subgroups containing that set
The field of fractions Q(D) of an integral domain D is the "smallest field containing D", info …
- 161
2
votes
1
answer
345
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Homset vs one collection
There are 2 main ways to describe a category, either using homsets for each pair of objects or just a single collection of morphisms with the objects (i.e. a 2 sorted structure). The homset definition …
- 161
3
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1
answer
443
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Sum of subobjects
Given a module A and submodules M, N we may consider the intersection and sum of M and N. In an abelian category, given two monics f:M->A and g:N->A, we can form the intersection by taking the pullbac …
- 161