A note on uniserial loops
Commentationes Mathematicae Universitatis Carolinae (2010)
- Volume: 51, Issue: 2, page 263-265
- ISSN: 0010-2628
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Abstract
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topJežek, Jaroslav, and Kepka, Tomáš. "A note on uniserial loops." Commentationes Mathematicae Universitatis Carolinae 51.2 (2010): 263-265. <http://eudml.org/doc/37758>.
@article{Ježek2010,
abstract = {All ordinal numbers $\alpha $ with the following property are found: there exists a loop such that its subloops form a chain of ordinal type $\alpha $.},
author = {Ježek, Jaroslav, Kepka, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; subloop; chain; uniserial; uniserial loops; lattices of subloops; chains; ordinal numbers},
language = {eng},
number = {2},
pages = {263-265},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on uniserial loops},
url = {http://eudml.org/doc/37758},
volume = {51},
year = {2010},
}
TY - JOUR
AU - Ježek, Jaroslav
AU - Kepka, Tomáš
TI - A note on uniserial loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 2
SP - 263
EP - 265
AB - All ordinal numbers $\alpha $ with the following property are found: there exists a loop such that its subloops form a chain of ordinal type $\alpha $.
LA - eng
KW - loop; subloop; chain; uniserial; uniserial loops; lattices of subloops; chains; ordinal numbers
UR - http://eudml.org/doc/37758
ER -
References
top- Smith J.D.H., An Introduction to Quasigroups and their Representations, CRC Press, Boca Raton, FL, 2007. Zbl1122.20035MR2268350
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