Geodesic
On inverse categories with split idempotents
Archivum mathematicum, Tome 51 (2015) no. 1, pp. 13-25.

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We present some special properties of inverse categories with split idempotents. First, we examine a Clifford-Leech type theorem relative to such inverse categories. The connection with right cancellative categories with pushouts is illustrated by simple examples. Finally, some basic properties of inverse categories with split idempotents and kernels are studied in terms of split idempotents which generate (right or left) principal ideals of annihilators.
DOI : 10.5817/AM2015-1-13
Classification : 18B40, 20M50
Keywords: inverse categories; inverse monoids; split idempotents; pointed sets; annihilators; exact sequences 
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Schwab, Emil; Schwab, Emil Daniel. On inverse categories with split idempotents. Archivum mathematicum, Tome 51 (2015) no. 1, pp. 13-25. doi : 10.5817/AM2015-1-13. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-1-13/

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