generator

(Definition)

Definition 0.1. Let us consider an Abelian category 𝒞. Then, an object G of 𝒞 is called a generator if Hom_𝒞(G,A) is nonzero for every nonzero object A of 𝒞.

"generator" is owned by bci1.
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See Also: compactness lemma

Keywords:

generator of an abelian category, cogenerator

Cross-references: Abelian category
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This is version 2 of generator, born on 2009-06-15, modified 2009-06-15.
Object id is 801, canonical name is Generator.
Accessed 2194 times total.

Classification:

Physics Classification:	00. (GENERAL)
	02. (Mathematical methods in physics)
	03. (Quantum mechanics, field theories, and special relativity )
	03.65.Fd (Algebraic methods )

generator

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