Title
Lawvere Categories As Composed Props
Abstract
PROPs and Lawvere categories are related notions adapted to the study of algebraic structures borne by an object in a category, but whereas PROPs are symmetric monoidal, Lawvere categories are cartesian. This paper formulates the connection between the two notions using Lack's technique for composing PROPs via distributive laws. We show Lawvere categories can be seen as resulting from a distributive law of two PROPs - one expressing the algebraic structure in linear form and the other expressing the ability of copying and discarding variables.
Year
DOI
Venue
2016
10.1007/978-3-319-40370-0_3
COALGEBRAIC METHODS IN COMPUTER SCIENCE
Field
DocType
Volume
Discrete mathematics,Distributive property,Algebra,Linear form,Algebraic structure,Computer science,Pure mathematics,Copying,Cartesian coordinate system
Conference
9608
ISSN
Citations 
PageRank 
0302-9743
3
0.47
References 
Authors
14
3
Name
Order
Citations
PageRank
Filippo Bonchi157947.04
Paweł Sobociński260945.57
Fabio Zanasi311013.89