# A note on uniserial loops

Commentationes Mathematicae Universitatis Carolinae (2010)

- Volume: 51, Issue: 2, page 263-265
- ISSN: 0010-2628

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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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