--quasigroups.
Generalized distributivity equation on GD-groupoids
Generalized morphisms of abelian m-ary groups
We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.
Generalized Weisner designs and quasigroups.
Grouplike Menger algebras.
Injective vector valued semigroups.
Invertibility criterion of composition of two multiary quasigroups
We study invertibility of operations that are composition of two operations of arbitrary arities. We find the criterion for quasigroups and specifications for -quasigroups. For this purpose we introduce notions of perpendicularity of operations and hypercubes. They differ from the previously introduced notions of orthogonality of operations and hypercubes [Belyavskaya G., Mullen G.L.: Orthogonal hypercubes and -ary operations, Quasigroups Related Systems 13 (2005), no. 1, 73–86]. We establish...
Localization in semicommutative (m,n)-rings
We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
-medial -quasigroups
For , every -medial -quasigroup is medial. If , then there exist -medial -quasigroups which are not -medial.
Medial cyclic -quasigroups.
Multiquasigroups and weighted projective planes
-T-quasigroup codes with one check symbol and their error detection capabilities
It is well known that there exist some types of the most frequent errors made by human operators during transmission of data which it is possible to detect using a code with one check symbol. We prove that there does not exist an -T-code that can detect all single, adjacent transposition, jump transposition, twin, jump twin and phonetic errors over an alphabet that contains 0 and 1. Systems that detect all single, adjacent transposition, jump transposition, twin, jump twin errors and almost all...
- арные лупы со свойствами обратимости с одним параметром обращения
- арные лупы со свойством обратимости
Note on polyadic groups on sets with at most 7 elements
n-арные инверсные квазигруппы (J-квазигруппы)
On (2,2) modular law for ternary GD-groupoids
On -basic quasigroups and their congruences
On 3-semigroups and 3-groups polynomial-derived from integral domains.
On a Class of N-ary Quasigroups