Results 51 to 60 of about 1,056 (96)

Induced topologies for quasigroups and loops [PDF]

Pacific Journal of Mathematics, 1973
Baclawski, Kenneth, Kapp, Kenneth M.
openaire   +3 more sources

Effective codescent morphisms of $n$-quasigroups and $n$-loops

Advanced Studies: Euro-Tbilisi Mathematical Journal
Effective codescent morphisms of $n$-quasigroups and of $n$-loops are characterized. To this end, it is proved that, for any $n\geq 1$, every codescent morphism of $n$-quasigroups (resp. $n$-loops) is effective. This statement generalizes our earlier results on qusigroups and loops.
openaire   +3 more sources

Check character systems over quasigroups and loops

, 2003
In this paper we survey the known results concerning check character or digit systems with one check character based on quasigroups loops, groups. These are codes with one control symbol detecting errors of speci_c types. This survey includes the following sections: 1. Introduction. 2. Check character systems over groups. 3.
Belyavskaya, G.B., Izbaş, V.I., Izbash, V., Şcerbacov, V.A., Shcherbacov, V.A.   +4 more
openaire   +1 more source

$F$-quasigroups isotopic to Moufang loops [PDF]

Czechoslovak Mathematical Journal, 1979
openaire   +1 more source

On m-inverse loops and quasigroups with a long inverse cycle

, 2002
In an earlier paper, we showed that CI-loops and quasigroups with long inverse cycles have certain properties which make them particularly appropriate for use in cryptography. The same is true of the generalized structures called m-inverse loops and quasigroups. Here, we investigate the existence of such structures initially for small orders.
Keedwell, A., Şcerbacov, V.A., Shcherbacov, V.A.   +2 more
openaire   +1 more source

Rectangular groupoids and related structures.

Discrete Math, 2013
Boykett T.
europepmc   +1 more source

Supergroup algorithm and knowledge graph construction in museum digital display platform. [PDF]

Heliyon
Su L, Liu H, Zhao W.
europepmc   +1 more source

The construction of loops using right division and Ward quasigroups.

, 2006
The point of departure in this paper is the study of a group or a loop \(Q\) via the multiplication table \(W(Q)\) under the operation of right division [see \textit{K. W. Johnson} and \textit{P. Vojtěchovský}, Abh. Math. Semin. Univ. Hamb. 75, 121-136 (2005; Zbl 1104.20063)].
openaire   +2 more sources

Short identities implying a quasigroup is a loop or group

, 2007
In this note, we nd all identities in product only with at most six variable occurrencesthat imply that a quasigroup satisfying the identity is a not necessarily trivial loopgroup. These investigations were aided by the automated theorem-prover Prover9 andthe model-nder Mace4.
openaire   +1 more source

Amalgam of a loop over an idempotent quasigroup

, 2005
openaire   +1 more source