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A Study Of New Concepts In Smarandache Quasigroups And Loops

, 2009
The various areas where loop theory originated and through which it moved during the early part of its 70 years of history can be mapped and fitted not only in a geographical and a chronological sense but also conceptually. Loop theory is of course a relatively young subject which continues to grow day by day.
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Induced topologies for quasigroups and loops [PDF]

Pacific Journal of Mathematics, 1973
Baclawski, Kenneth, Kapp, Kenneth M.
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A Pair Of Smarandachely Isotopic Quasigroups And Loops Of The Same Variety

, 2008
10 ...
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Smarandache Isotopy Theory Of Smarandache: Quasigroups And Loops

, 2007
The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops. The exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache $f,g$ principal isotopes and G-Smarandache loops.
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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.
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$F$-quasigroups isotopic to Moufang loops [PDF]

Czechoslovak Mathematical Journal, 1979
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Automated theorem proving in quasigroup and loop theory [PDF]

AI Communications, 2010
We survey all known results in the area of quasigroup and loop theory to have been obtained with the assistance of automated theorem provers. We provide both informal and formal descriptions of selected problems, and compare the performance of selected state-of-the art first order theorem provers on them.
J. D. Phillips 0001, David Stanovský
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Smooth Quasigroups and Loops

1999
This monograph written by a leading specialist in this new rapidly developing field of mathematics presents the complete up-to-date theory of smooth quasigroups and loops, as well as its geometric and algebraic applications. Based on a generalization of the Lie group theory, it establishes a new background for differential geometry in the form of the ...
Sabinin Lev V., Goldberg Vladislav
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Some Varieties of Quasigroups, Loops and their Parastrophes

Communications in Mathematics and Applications, 2012
El papel de las parásitas en la teoría de los cuasigrupos y los bucles es bien conocido. Es nuestro enfoque investigar clases notables de bucles y cuasigrupos y relacionarlos con sus parásitos. Se presentan algunas consecuencias para los bucles de código.
Peter Plaumann, Liudmila Sabinina, L. Sbitneva   +2 more
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Varieties Of Steiner Loops and Steiner Quasigroups

Canadian Journal of Mathematics, 1976
A Steiner Triple System (STS) is a pair (P, B) where P is a set of points and B is a set of 3-elenient subsets of P called blocks (or triples) such that for distinct p, q ∈ P there is a unique block b ∈ B with ﹛p, q) ⊂ b. There are two well-known methods for turning Steiner Triple Systems into algebras; both methods are due to R. H. Bruck [1].
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