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A characterization of the Corrado Segre variety

✍ Scribed by Eva Ferrara Dentice; Pia Maria Lo Re


Publisher
Springer
Year
2006
Tongue
English
Weight
80 KB
Volume
85
Category
Article
ISSN
0047-2468

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A categorical characterization of variet
✍ J. AdΓ‘mek πŸ“‚ Article πŸ“… 2004 πŸ› Springer 🌐 English βš– 296 KB

A simple, direct proof of the following characterization of varieties of (finitary)algebras is presented: a cocomplete category is equivalent to a variety iff it has an algebraic generator, i.e., a regular generator which is exactly projective and finitely generated. This improves somewhat a recent