Diagram chasing in ordered categories with involution
type: Item
instance of: scholarly article
title: Diagram chasing in ordered categories with involution
zbMATH Open document ID: 0954.18001
DOI: 10.1016/S0022-4049(98)00115-7
published in: Journal of Pure and Applied Algebra
publication date: 2001-01-29T00:00:00Z
review text: Continuing along the lines of earlier work of the author and others (especially Calenko), the existence and exactness properties of morphisms such as connecting homomorphisms are here studied in the context of ordered categories with involution. The author interprets many of his constructions in regular categories, and then shows how to associate an ordered category with involution (in two ways -- one his and one Calenko's) to a general category. The article ends with conditions under which the two constructions yield the same result; regularity of the original small category is sufficient.
Mathematics Subject Classification ID: 18B10
Mathematics Subject Classification ID: 18G99
zbMATH DE Number: 1384153
zbMATH Keywords: diagram chasing
zbMATH Keywords: ordered categories
zbMATH Keywords: exactness properties
zbMATH Keywords: connecting homomorphisms
zbMATH Keywords: regular categories
reviewed by: Don H. Van Osdol
MaRDI profile type: Publication
full work available at URL: s0022-4049(98)00115-7
OpenAlex ID: W2097076994
Wikidata QID: Q126838526
author: J. Lambek
description: scientific article; zbMATH DE number 1384153