3 Nov
1998
3 Nov
'98
11:19 a.m.
The result that finite products coincide with finite coproducts in categories enriched commutative monoids can be found in Herrlich`s and Strecker`s book under 40.8 (p.308 in the 2nd edition). The converse is given there under 4.12 (p.310). They use the term "semi-additive category", which I am also used to. Though I agree with Bill Lawvere that prefixes like "semi" should be omitted if possible, I am not convinced by his suggestion "linear categeory" because for me subtraction seems essential fo linear algebra. Maybe somebody invents a better term. Greetings Reinhard