Scalars, Monads, and Categories

Details Scalars, Monads, and Categories Scalars, Monads, and Categories

2010-03-02

arxiv.org/abs/1003.0585v2

Mathematics

Rings and Algebras

Scientific paper

This chapter describes interrelations between: (1) algebraic structure on sets of scalars, (2) properties of monads associated with such sets of scalars, and (3) structure in categories (esp. Lawvere theories) associated with these monads. These interrelations will be expressed in terms of "triangles of adjunctions", involving for instance various kinds of monoids (non-commutative, commutative, involutive) and semirings as scalars. It will be shown to which kind of monads and categories these algebraic structures correspond via adjunctions.

Affiliated with

Also associated with

No associations

Rating

Scalars, Monads, and Categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scalars, Monads, and Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scalars, Monads, and Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-664018