Semimodule Enrichment

Research output: Contribution to journalArticlepeer-review

Abstract

A category with biproducts is enriched over (commutative) additive monoids. A category with tensor products is enriched over scalar multiplication actions. A symmetric monoidal category with biproducts is enriched over semimodules. We show that these extensions of enrichment (e.g. from hom-sets to hom-semimodules) are functorial, and use them to make precise the intuition that “compact objects are finite-dimensional” in standard cases.
Original languageEnglish
Pages (from-to)193-208
Number of pages16
JournalElectronic Notes in Theoretical Computer Science
Volume218
DOIs
Publication statusPublished - 2008

Keywords

  • compact objects

Fingerprint

Dive into the research topics of 'Semimodule Enrichment'. Together they form a unique fingerprint.

Cite this