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monoid

Overview page. Subjects: Computing.

A semigroup that possesses an identity element, e. If S is a semigroup on which there is defined a dyadic operation ∘, then xe = ex = xfor all elements x in S. Monoids play an...

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CATEGORIES OF DIAGRAMS

Steve Awodey.

in Category Theory

May 2006; p ublished online September 2007 .

Chapter. Subjects: Algebra. 6900 words.

This chapter presents the proof for the Yoneda Lemma, which is probably the single most used result in category theory. It is interesting how often it comes up, especially in view of the...

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