HBA1C
发表于 2025-3-21 16:22:13
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狂乱
发表于 2025-3-21 20:55:18
https://doi.org/10.1007/978-3-8350-9279-2at (. ∘.) ∘. = . ∘ (. ∘.) for all composable pairs ., . and ., .. Finally, for every ., there exists an . . such that . ∘ Id. = . and Id. ∘. = . for all morphisms .: . → ., .: . → . in .. It is actually unique for every ., because Id.. = Id..∘ Id.. = Id.. for every two such endomorphisms ..
分开如此和谐
发表于 2025-3-22 00:52:30
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Anthropoid
发表于 2025-3-22 05:21:59
Categories and Functors,at (. ∘.) ∘. = . ∘ (. ∘.) for all composable pairs ., . and ., .. Finally, for every ., there exists an . . such that . ∘ Id. = . and Id. ∘. = . for all morphisms .: . → ., .: . → . in .. It is actually unique for every ., because Id.. = Id..∘ Id.. = Id.. for every two such endomorphisms ..
Abrade
发表于 2025-3-22 10:25:03
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战胜
发表于 2025-3-22 14:26:16
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抛射物
发表于 2025-3-22 21:05:34
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forager
发表于 2025-3-23 01:12:52
https://doi.org/10.1007/978-3-8350-9279-2Given a set . and a field ., let us write . for the vector space with basis . over .. It is formed by the formal linear combinations .. ⋅ . of elements . ∈ . with coefficients ., all but a finite number of which vanish. By definition, the . . spanned by the set . is the tensor algebra . of the vector space ..
Extricate
发表于 2025-3-23 05:01:15
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overbearing
发表于 2025-3-23 07:26:37
https://doi.org/10.1007/978-3-8350-9279-2Everywhere in this section we assume by default that . is a field of characteristic zero.