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Artículo
A historical perspective of the theory of isotopisms
(MDPI, 2018-08-03)
In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras and quasigroups as a generalization of the classical theory of isomorphisms in order to study and ...
Artículo
A particular case of extended isotopisms: Santilli's isotopisms
(Hadronic Press, 2006)
Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
Artículo
Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
(Elsevier, 2017-02-15)
Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their distribution into isotopism classes is uniquely related with the mutation of alleles in nonMendelian ...
Artículo
Recent advances on Tsagas-Sourlas-Santilli isotopology
(Kyungnam University Press, 2005)
Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory for nonlinear systems, today known as the Lie-Santilli isotheory, via the reconstruction of linearity ...
Artículo
An approach to the isotheory by means of extended pseudoisotopisms
(American Institute of Physics, 2016)
Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to provide a fundamental basis to the isotheory of Santilli. Since that first attempt, distinct studies on ...
Artículo
Generating binary partial Hadamard matrices
(Elsevier, 2019)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which is the best asymptotic bound known so far, see de Launey (2000) and de Launey and Gordon (2001)) ...
Artículo
Gröbner bases and cocyclic Hadamard matrices
(Elsevier, 2018)
Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related toHadamard matrices with one or two circulant cores of a given or-der. Based on this idea, the cocyclic ...
Artículo
Computing autotopism groups of partial Latin rectangles: A pilot study
(Wiley, 2019)
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has two aims: (a) to compare these methods experimentally, and (b) to identify the design goals one ...
Artículo
Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method
(Elsevier, 2015)
The current paper deals with the enumeration and classification of the set SORr,n of self-orthogonal r × r partial Latin rectangles based on n symbols. These combinatorial objects are identified with the independent sets ...