Results 61 to 70 of about 160,139 (111)

Algebraic Structures and Variations: From Latin Squares to Lie Quasigroups [PDF]

, 2021
In this Master\u27s Thesis we give an overview of the algebraic structure of sets with a single binary operation. Specifically, we are interested in quasigroups and loops and their historical connection with Latin squares; considering them in both finite
Flinn, Erik
core  

Finite geometries and related loops and quasigroups

, 2018
Este trabalho é sobre as geométrias finitas com 3 ou 4 pontos na cada reta e os loops e qiasigrupos relacionados. Em caso de 3 pontos na cada reta descrevemos o loop de Steiner correspondente livre e calculamos o grupo de automorfismos em caso de 3 ...
Rasskazova, Diana
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An introduction to quasigroups and their representations

, 2006
Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth ...
Jonathan D. H. Smith, Smith, Jonathan D H   +1 more
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Smooth quasigroups and loops: forty-five years of incredible growth [PDF]

, 2000
summary:The remarkable development of the theory of smooth quasigroups is ...
Sabinin, Lev V.
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On M-inverse Loops And Quasigroups Of Order N With A Long Inverse Cycle.

, 2015
In 2002, A.D Keedwell and V.A Sherbacov introduced the concept of finite m-inverse quasigroups with long inverse cycles. Keedwell and Sherbacov observed that finite m-inverse loops and quasigroups with a long inverse cycle could be useful in the study of
Looney, Carl Edward
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Quasigroups, Geometry and Nonlinear Geometric Algebra

, 2020
A survey of the methods of the theory of quasigroups and loops in algebra and geometry is presented in order to attract the attention of mathematicians and physicists to promising applications of this new branch of mathematics in applied ...
Sabinin L.V.
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Relations among some classes of quasigroups [PDF]

, 1979
We show relations among some classes of quasigroups. A quasigroup (G,.) is calIed unipotent if it contains an element x  such that a.a = x, for every a in G; subtractive  if b.(b.a) = a and a. (b.c) = c|.(b.a)  for all a,b,c in G; medial if (a.b).(c.d) =(
Katsume MiyaóKa, Florinda, Pereira Da Silva, Clovis   +1 more
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A survey of the theory of loops

, 1957
This thesis consists of an up to date (June, 1956) survey of the theory of loops. The arrangement of the material is as follows. Chapter 1 starts with a discussion of permutation groups, Quasigroups are then defined, and we see that a quasigroup can be ...
Hobby, Charles R.
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Axioms for trimedial quasigroups [PDF]

, 2004
summary:We give new equations that axiomatize the variety of trimedial quasigroups. We also improve a standard characterization by showing that right semimedial, left F-quasigroups are ...
Kinyon, Michael K., Phillips, J. D.
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Rectangular groupoids and related structures.

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