Results 51 to 60 of about 160,139 (111)

Matched pairs of m-invertible hopf quasigroups

open access: yes, 2020
The matched pair theory (of groups) is studied for a class of quasigroups; namely, the m-inverse property loops. The theory is upgraded to the Hopf level, and the m-invertible Hopf quasigroups are introduced.Publisher's ...
Hassanzadeh, Mohammad   +1 more
core  

On quasigroups with the left loop property [PDF]

open access: yes, 2000
summary:Some properties of quasigroups with the left loop property are investigated. In loops we point out that the left loop property is closely related to the left Bol identity and the particular case of homogeneous loops is ...
Issa, A. Nourou
core  

On the universality of some Smarandache loops of Bol-Moufang type [PDF]

open access: yes, 2006
A Smarandache left (right) inverse property loop in which all its f; g- principal isotopes are Smarandache f; g- principal isotopes is shown to be universal if and only if it is a Smarandache left(right) Bol loop in which all its f; g- principal isotopes
Awolowo, Obafemi   +1 more
core   +1 more source

On autotopies and automorphisms of n-ary linear quasigroups [PDF]

open access: yes, 2004
In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of nary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary quasigroups (idempotent quasigroups ...
Marini, A., Shcherbacov, V.
core   +1 more source

Loop cohomology [PDF]

open access: yes, 1944
summary:Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup are T-quasigroups.
Johnson, K. W.   +5 more
core   +1 more source

Normal and characteristic structure in quasigroups and loops

open access: yes, 2003
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops. In recent years there has been a revival of interest in the theory of loops and in particular in the relationship between the properties of a loop and ...
Tim. Hardcastle (7697996)
core   +3 more sources

Loops and quasigroups: Aspects of current work and prospects for the future [PDF]

open access: yes, 2000
summary:This paper gives a brief survey of certain recently developing aspects of the study of loops and quasigroups, focussing on some of the areas that appear to exhibit the best prospects for subsequent research and for applications both inside and ...
Smith, Jonathan D. H.
core  

On generalized multiplication groups of the commutative Moufang loops [PDF]

open access: yes, 2018
Only AbstractThe multiplication groups of quasigroups, i.e. the groups generated by all left and right translations, represent an efficient tool in the theory of quasigroups (loops). Belousov considered the groups, generated by all left, right and middle
GRECU, I., SYRBU, P.
core   +1 more source

Induced topologies for quasigroups and loops [PDF]

open access: yesPacific Journal of Mathematics, 1973
Baclawski, Kenneth, Kapp, Kenneth M.
openaire   +3 more sources

Right product quasigroups and loops

open access: yes, 2011
Right groups are direct products of right zero semigroups and groups and they play a significant role in the semilattice decomposition theory of semigroups.
Phillips, J.D.
core  

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