A groupoid $(Q,·)$ is said to be quadratical if the identity (1) $$ab· a = ca · bc$$ holds and if $(Q,·)$ is a right quasigroup, i.e. for any $a, b∈ Q$ the equation $ax = b$ has the unique solution x. Quadratical groupoids arose originally from the geometric situation described in Example 3 below.In this paper we study abstract quadratical groupoids and certain derived algebraic structures
Using an algebraic point of view we present an introduction to the groupoid theory; that is, we give...
AbstractWe consider algebras over a field K defined by a presentation K〈x1,…,xn∣R〉, where R consists...
© 2019, Institute of Mathematics, Academy of Sciences Moldova. All rights reserved. We study P-group...
Let the product of points A and B be the vertex C of the right isosceles triangle for which AB is th...
Abstract. We consider a class of functional equations with one operational symbol which is assumed t...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:Left distributive quasitrivial groupoids are completely described and those of them which ar...
If an augmented algebra K over Q is filtered by powers of its augmentation ideal I, the associated g...
We approach Mackenzie’s LA-groupoids from a supergeometric point of view by introducing Q-groupoids,...
If an augmented algebra K over Q is filtered by powers of its augmentation ideal I, the associated g...
AbstractGiven a quadratic word W of canonical form in a free group with base X, the Author shows tha...
AbstractSquare groups are quadratic analogues of abelian groups. Many properties of abelian groups a...
Abstract. The (right, left) crossed-inverse-property in groupoids is investigated. It is shown that ...
Using an algebraic point of view we present an introduction to the groupoid theory; that is, we give...
AbstractWe consider algebras over a field K defined by a presentation K〈x1,…,xn∣R〉, where R consists...
© 2019, Institute of Mathematics, Academy of Sciences Moldova. All rights reserved. We study P-group...
Let the product of points A and B be the vertex C of the right isosceles triangle for which AB is th...
Abstract. We consider a class of functional equations with one operational symbol which is assumed t...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:The concept of pseudosquare in a general quadratical quasigroup is introduced and connection...
summary:Left distributive quasitrivial groupoids are completely described and those of them which ar...
If an augmented algebra K over Q is filtered by powers of its augmentation ideal I, the associated g...
We approach Mackenzie’s LA-groupoids from a supergeometric point of view by introducing Q-groupoids,...
If an augmented algebra K over Q is filtered by powers of its augmentation ideal I, the associated g...
AbstractGiven a quadratic word W of canonical form in a free group with base X, the Author shows tha...
AbstractSquare groups are quadratic analogues of abelian groups. Many properties of abelian groups a...
Abstract. The (right, left) crossed-inverse-property in groupoids is investigated. It is shown that ...
Using an algebraic point of view we present an introduction to the groupoid theory; that is, we give...
AbstractWe consider algebras over a field K defined by a presentation K〈x1,…,xn∣R〉, where R consists...
© 2019, Institute of Mathematics, Academy of Sciences Moldova. All rights reserved. We study P-group...
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