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SMALL CATEGORIES OF HOMOLOGICAL DIMENSION ONE.

Authors :
SWEET, KARIMAH
CHING-AN CHENG, CHARLES
Source :
Theory & Applications of Categories. 2020, Vol. 35 Issue 1-5, p137-154. 19p.
Publication Year :
2020

Abstract

We derive three equivalent necessary conditions for a small category to have homological dimension one, generalizing a result of Novikov. As a consequence, any small cancellative category of homological dimension one is embeddable in a groupoid. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIMENSIONS

Details

Language :
English
ISSN :
1201561X
Volume :
35
Issue :
1-5
Database :
Academic Search Index
Journal :
Theory & Applications of Categories
Publication Type :
Academic Journal
Accession number :
141765155