Results 1 to 7 of about 12 (7)
CYCLIC ENTROPIC QUASIGROUPS [PDF]
Demonstratio Mathematica, 2009 AbstractIn this paper we explain the relationship of some entropic quasigroups to abelian groups with involution. It is known that (
Grzegorz Bińczak, Joanna Kaleta
+4 more sources
Finite simple monogenic entropic quasigroups with quasi-identity [PDF]
Demonstratio Mathematica, 2011 Abstract In this paper we describe finite simple monogenic entropic quasigroups with quasi-identity.
Bińczak, G., Kaleta, J.
openaire +3 more sources
Finite directly indecomposable monogenic entropic quasigroups with quasi-identity [PDF]
Demonstratio Mathematica, 2012 Abstract In this paper we characterize finite directly indecomposable monogenic entropic quasigroups with quasi-identity.
Bińczak, G., Kaleta, J.
openaire +3 more sources
Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
Discussiones Mathematicae - General Algebra and Applications, 2014 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.
Grzegorz Bińczak, Joanna Kaleta
openaire +2 more sources
Study of Jordan quasigroups and their construction
Journal of Taibah University for Science, 2018 Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan +3 more
doaj +1 more source
Finite 2-generated entropic quasigroups with a quasi-identity.
, 2015 The authors describe entropic quasigroups with a quasi-identity or abelian groups with involution. Every finite abelian group with involution is isomorphic to a finite product of directly indecomposable finite abelian groups with involution [see \textit{J. J. Rotman}, An introduction to the theory of groups. 4th ed.
Binczak, G., Kaleta, J.
openaire +2 more sources
Entropy, character theory and centrality of finite quasigroups
, 1990 Jonathan D. H. Smith
openalex +1 more source