Categories of algebraic sets

✍ Scribed by Yves Diers

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 714 KB
• Volume: 4
• Category: Article
• ISSN: 0927-2852
• DOI: 10.1007/bf00122260

✦ Synopsis

The category AlgSet(7-) of algebraic sets is defined in a straightforward way for any algebraic theory 7-. It is a concrete, complete and cocomplete category dually equivalent to a full reflective subcategory of the category Alg(7-) of T-algebras. For the algebraic theory 7-of commutative algebras over a field K, we get the algebraic sets over K.