A Morphism Double Category and Monoidal Structure. (25th March 2013)

• Record Type: Journal Article
• Authors: Chatterjee, Saikat; Lahiri, Amitabha; Sengupta, Ambar N.
• Other Names: Kim Dae San Academic Editor.
• Is Part Of: Algebra. Volume 2013(2013)
• Publication Date: 2013-03-25
• Subjects: Algebra -- Periodicals; Algebra; Electronic journals; Periodicals; 512.005
• DOI: 10.1155/2013/460582
• Languages: English
• ISSNs: 2314-4106

Abstract

Abstract : We provide a recipe for "fattening" a category that leads to the construction of a double category. Motivated by an example where the underlying category has vector spaces as objects, we show how a monoidal category leads to a law of composition, satisfying certain coherence properties, on the object set of the fattened category.