On inverse categories with split idempotents
Emil Schwab; Emil Daniel Schwab
Archivum Mathematicum (2015)
- Volume: 051, Issue: 1, page 13-25
- ISSN: 0044-8753
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topSchwab, Emil, and Schwab, Emil Daniel. "On inverse categories with split idempotents." Archivum Mathematicum 051.1 (2015): 13-25. <http://eudml.org/doc/270036>.
@article{Schwab2015,
abstract = {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.},
author = {Schwab, Emil, Schwab, Emil Daniel},
journal = {Archivum Mathematicum},
keywords = {inverse categories; inverse monoids; split idempotents; pointed sets; annihilators; exact sequences},
language = {eng},
number = {1},
pages = {13-25},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On inverse categories with split idempotents},
url = {http://eudml.org/doc/270036},
volume = {051},
year = {2015},
}
TY - JOUR
AU - Schwab, Emil
AU - Schwab, Emil Daniel
TI - On inverse categories with split idempotents
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 1
SP - 13
EP - 25
AB - 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.
LA - eng
KW - inverse categories; inverse monoids; split idempotents; pointed sets; annihilators; exact sequences
UR - http://eudml.org/doc/270036
ER -
References
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