Results 71 to 80 of about 160,139 (111)

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

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

QUOTIENTS, EQUIVALENCE RELATIONS, AND NORMALITY IN NON-ASSOCIATIVE ALGEBRA WITH REGARDS TO LOOPS AND QUASIGROUPS [PDF]

This thesis will contain a detailed overview of relations, quotients, normality, loops, quasigroups, and related theorems and varieties. Nonassociative algebra is a relatively new area of mathematics, it came about in the past hundred years, and has ...
Mulholland, Matthew L
core  

Power Graphs of Quasigroups

, 2019
We investigate power graphs of quasigroups. The power graph of a quasigroup takes the elements of the quasigroup as its vertices, and there is an edge from one element to a second distinct element when the second is a left power of the first.
Walker, DayVon L.
core  

Quasigroups, Geometry and Nonlinear Geometric Algebra

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.
core  

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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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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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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Quasi-Invariant and Invariant Functionals and Measures on Systems of Topological Loops and Quasigroups

Siberian Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On \(m\)-inverse loops and quasigroups with a long inverse cycle

Australas. J Comb., 2002
Suppose that there exists a permutation \(J\) of the elements of a quasigroup \((Q,\circ)\) such that, for all \(a,b\in Q\), \((a\circ b)J^m\circ aJ^{m+1}=bJ^m\). Then \((Q,\circ)\) is called an \(m\)-inverse quasigroup. When the permutation \(J\) is written in the form of a product of cycles, these cycles are called the inverse cycles of the \(m ...
A. Donald Keedwell, Victor A. Shcherbacov   +1 more
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