Results 51 to 60 of about 160,139 (111)
Matched pairs of m-invertible hopf quasigroups
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
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On quasigroups with the left loop property [PDF]
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
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On the universality of some Smarandache loops of Bol-Moufang type [PDF]
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
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On autotopies and automorphisms of n-ary linear quasigroups [PDF]
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.
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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
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Normal and characteristic structure in quasigroups and loops
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)
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Loops and quasigroups: Aspects of current work and prospects for the future [PDF]
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.
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On generalized multiplication groups of the commutative Moufang loops [PDF]
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.
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Induced topologies for quasigroups and loops [PDF]
Baclawski, Kenneth, Kapp, Kenneth M.
openaire +3 more sources
Right product quasigroups and loops
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.
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