Arithmetical categories and commutator theory
β Scribed by M. C. Pedicchio
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 440 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0927-2852
No coin nor oath required. For personal study only.
β¦ Synopsis
We characterize Maltsev categories in terms of internal groupoids (internal pregroupoids) and their associated commutators. As a consequence we get a description of arithmetical categories.
π SIMILAR VOLUMES
In this paper we develop an ideal theory for certain submonoids of the nonzero integers. We associate one of these monoids to each quadratic number field and show that the genus theory of ideals and genus characters of the number field are virtually the same as the ideal theory and the characters of
Pseudo-commutative 2-monads and pseudo-closed 2-categories are deΓΏned. The former give rise to the latter: if T is pseudo-commutative, then the 2-category T -Alg, of strict T -algebras and pseudo-maps of algebras, is pseudo-closed. In particular, the 2-category of symmetric monoidal categories, is p
When the idea ΓΏrst arose of organizing a special session on category theory at the September 26-28, 1997 AMS meeting in Montreal, it seemed immediately appropriate to dedicate it to Bill Lawvere as a token of our esteem on his 60th birthday. Certainly, few people have in uenced category theory, as w