Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

EDIT: Are there references to the literature that works out dervied functors for categories enriched over abelian monoids? (I narrowed down the question in the hope for an answer.)

share|improve this question
4  
In my book, semigroups have associative multiplication (or let us say addition in the abelian case). Since he assumes a neutral element, I assume he means commutative monoid, in which case I find this question to be a very natural one. If Colin doesn't mean to include associtativity as an axiom, I find the question far less natural. –  Todd Trimble Sep 18 '11 at 15:07
    
(Semigroups -abelian or not- are defined to be associative!) –  Qfwfq Sep 18 '11 at 15:10
    
Yeah, I was confused because Colin forgot to list associativity as one of the axioms (unless he really meant the non-associative analogue!). –  Harry Gindi Sep 18 '11 at 15:20
2  
(In case my initial comment seems confusing, it was in response to a comment of Harry which he later deleted.) –  Todd Trimble Sep 18 '11 at 20:23
    
yes. i do mean associative. usually i find the nomenclature "monoid" confusing. i find the analogy between ring and semiring, and group and semigroup. –  Colin Tan Sep 19 '11 at 2:47

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.