Zobrazeno 1 - 10
of 61
pro vyhledávání: '"20N02, 20N05"'
Autor:
Zhang, Kaiqiang, Du, Xiankun
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which have also been developed. No work focuses on set-theoretic solutions to
Externí odkaz:
http://arxiv.org/abs/2212.00274
Autor:
Pirashvili, Ilia
As it is well known, one can define an abelian group on the points of an elliptic curve, using the so called chord-tangent law \cite{dale}, and a chosen point. However, that very chord-tangent law allows us to define a rather more obscure algebraic s
Externí odkaz:
http://arxiv.org/abs/2201.05553
Autor:
Anjos, Giliard Souza dos
Let $(G,*)$ and $(G',\cdot)$ be groupoids. A bijection $f: G \rightarrow G'$ is called a half-isomorphism if $f(x*y)\in\{f(x)\cdot f(y),f(y)\cdot f(x)\}$, for any $ x, y \in G$. A half-isomorphism of a groupoid onto itself is a half-automorphism. A h
Externí odkaz:
http://arxiv.org/abs/2007.06058
Publikováno v:
Journal of the Nigerian Mathematical Society (2019), Vol. 38, Issue 2, 139-155
Fenyves BCI-algebras are BCI-algebras that satisfy the Bol-Moufang identities. In this paper, the holomorphy of BCI-algebras are studied. It is shown that whenever a loop and its holomorph are BCI-algebras, the former is p-semisimple if and only if t
Externí odkaz:
http://arxiv.org/abs/1912.07141
Autor:
Monzo, R. A. R., Dudek, W. A.
Any pentagonal quasigroup is proved to have the product xy = R(x)+y-R(y) where (Q,+) is an Abelian group, R is its regular automorphism satisfying R^4-R^3+R^2-R+1 = 0 and 1 is the identity mapping. All abelian groups of order n<100 inducing pentagona
Externí odkaz:
http://arxiv.org/abs/1907.06635
Autor:
Ludkowski, S. V.
In this article nonassociative metagroups are studied. Different types of smashed products and smashed twisted wreath products are scrutinized. Extensions of central metagroups are studied.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/1809.02801
In this study we introduce $\alpha$-elasticity property for generalized Moufang loops. Necessary and sufficient conditions for $\alpha$-elasticity of generalized Moufang loops to be universal are given. Using the universal conditions, and in some cas
Externí odkaz:
http://arxiv.org/abs/1803.04243
A loop $(Q,\cdot,\backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yz\backslash x)=(x/z)(y\backslash x)$. In this paper, some new algebraic properties of a middle Bol loop are established. Four bi-variate mappings $f_i,g_i,~i=1,2
Externí odkaz:
http://arxiv.org/abs/1606.09169
Publikováno v:
Discussiones Mathematicae General Algebra and Applications 35 (2015) 59-78
The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regula
Externí odkaz:
http://arxiv.org/abs/1510.05990
Autor:
Ormes, Nicholas, Vojtěchovský, Petr
Publikováno v:
Comment. Math. Univ. Carolin. 48 (2007), no. 1, 25-40
A groupoid is alternative if it satisfies the alternative laws $x(xy)=(xx)y$ and $x(yy)=(xy)y$. These laws induce four partial maps on $\mathbb{N}^+\times \mathbb{N}^+$, $(r,\,s)\mapsto (2r,\,s-r)$, $(r-s,\,2s)$, $(r/2,\,s+r/2)$, $(r+s/2,\,s/2)$ that
Externí odkaz:
http://arxiv.org/abs/1509.05698