Physics Library
 An open source physics library
Encyclopedia | Forums | Docs | Random | Template Test |  
Login
create new user
Username:
Password:
forget your password?
Main Menu
Sections

Talkback

Downloads

Information
generator (Definition)
Definition 0.1   Let us consider an Abelian category $\mathcal{C}$. Then, an object $G$ of $\mathcal{C}$ is called a generator if $Hom_{\mathcal{C}}(G,A)$ is nonzero for every nonzero object $A$ of $\mathcal{C}$.



"generator" is owned by bci1.

View style:

See Also: compactness lemma

Keywords:  generator of an abelian category, cogenerator

Cross-references: object, Abelian category
There are 21 references to this object.

This is version 2 of generator, born on 2009-06-15, modified 2009-06-15.
Object id is 801, canonical name is Generator.
Accessed 595 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 )
Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:

No messages.

Testing some escape charachters for html category with a generator has an injective cogenerator" now escape ” with "