Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity

• Autorzy: Grzegorz Bińczak , Joanna Kaleta
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

quasigroups; entropic quasigroups; abelian groups; involution

Kategorie tematyczne

• 20N05: Loops, quasigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2014
• Tom: 34
• Numer: 1
• Strony: 5-26

Daty

wydano

2014

otrzymano

2013-03-14

poprawiono

2013-04-08

poprawiono

2013-07-25

Twórcy

autor

Grzegorz Bińczak

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology 00-661, Warsaw, Poland

autor

Joanna Kaleta

• Department of Applied Mathematics, Warsaw University of Agriculture, 02-787 Warsaw, Poland

Bibliografia

• [1] G. Bińczak and J. Kaleta, Cyclic entropic quasigroups, Demonstratio Math. 42 (2009) 269-281.
• [2] G. Bińczak and J. Kaleta, Finite simple monogenic entropic quasigroups with quasi-identity, Demonstratio Math. 44 (2011) 17-27.
• [3] G. Bińczak and J. Kaleta, Finite directly indecomposable monogenic entropic quasigroups with quasi-identity, Demonstratio Math. 45 (2012) 519-532.
• [4] O. Chein, H.O. Pflugfelder and J.D.H. Smith, Quasigroups and Loops: Theory and Applications (Heldermann Verlag, Berlin, 1990).
• [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).

Identyfikatory

DOI

10.7151/dmgaa.1214