Tag Archives: products

Commutative Algebra 49

Posted on May 7, 2020 by limsup

Morphism of Diagrams Throughout this article denotes a category and J is an index category. Definition Given diagrams , a morphism is a natural transformation . Thus we have the category of all diagrams in of type J, which we … Continue reading →

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Commutative Algebra 20

Posted on April 7, 2020 by limsup

Yoneda Lemma For an object , define the covariant functor Proposition 1. Any morphism in gives us a natural transformation In summary, the natural transformation is obtained by right-composing with f. Proof Let be a morphism in . We need … Continue reading →

Posted in Advanced Algebra | Tagged , , , , , , | 4 Comments