Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
Grzegorz Bińczak; Joanna Kaleta
Discussiones Mathematicae - General Algebra and Applications (2014)
- Volume: 34, Issue: 1, page 5-26
- ISSN: 1509-9415
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topGrzegorz Bińczak, and Joanna Kaleta. "Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity." Discussiones Mathematicae - General Algebra and Applications 34.1 (2014): 5-26. <http://eudml.org/doc/270427>.
@article{GrzegorzBińczak2014,
abstract = {In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.},
author = {Grzegorz Bińczak, Joanna Kaleta},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {quasigroups; entropic quasigroups; abelian groups; involution; quasigroup; entropic quasigroup; abelian group},
language = {eng},
number = {1},
pages = {5-26},
title = {Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity},
url = {http://eudml.org/doc/270427},
volume = {34},
year = {2014},
}
TY - JOUR
AU - Grzegorz Bińczak
AU - Joanna Kaleta
TI - Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2014
VL - 34
IS - 1
SP - 5
EP - 26
AB - In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.
LA - eng
KW - quasigroups; entropic quasigroups; abelian groups; involution; quasigroup; entropic quasigroup; abelian group
UR - http://eudml.org/doc/270427
ER -
References
top- [1] G. Bińczak and J. Kaleta, Cyclic entropic quasigroups, Demonstratio Math. 42 (2009) 269-281. Zbl1195.20068
- [2] G. Bińczak and J. Kaleta, Finite simple monogenic entropic quasigroups with quasi-identity, Demonstratio Math. 44 (2011) 17-27. Zbl1230.20063
- [3] G. Bińczak and J. Kaleta, Finite directly indecomposable monogenic entropic quasigroups with quasi-identity, Demonstratio Math. 45 (2012) 519-532. Zbl1279.20078
- [4] O. Chein, H.O. Pflugfelder and J.D.H. Smith, Quasigroups and Loops: Theory and Applications (Heldermann Verlag, Berlin, 1990). Zbl0719.20036
- [5] J.J. Rotman, An Introduction to the Theory of Groups (Springer-Verlag, New York, 1994).
- [6] J.D.H. Smith, Representation Theory of Infinite Groups and Finite Quasigroups (Université de Montréal, 1986). Zbl0609.20042
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