Now showing items 1-10 of 22
Computation of isotopisms of algebras over finite fields by means of graph invariants [Article]
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually ...
Santilli autotopisms of partial groups [Article]
(Science Publishing Group, 2015-10)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
The General Set in the MCIM isotopic model [Article]
To obtain a bigger number of mathematical and physical applications of the Santilli's isotheory, the last studies have shown the neeed of analyzing isotopic models which use non associative laws. The main goal of this paper ...
Extension of Santilli's isotopies to non-injective isoalgebras [Article]
(Kyungnam University Press, 2005)
Santilli's isotopies constitute a new branch of mathematics characterized by axiom-preserving isotopic lifting of units, products, numbers, fields, topologies, geometries, algebras, groups, etc., with numerous novel ...
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields [Article]
The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined by zero-dimensional radical ideals for which the computation of their reduced Gröbner bases makes ...
Estudio de la Isotopología de Tsagas-Sourlas-Santilli [Article]
(Hadronic Press, 2003)
Since his original proposal of 1978 to study Lie-isotopic and Lie-admissible liftings of conventional, local-differential Hamiltonian formulations of point particles, the physicist R. M. Santilli suggested the contribution ...
A particular case of extended isotopisms: Santilli's isotopisms [Article]
(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 ...
Mathematical foundations of Santilli isotopies [Article]
(Hadronic Press, 2015)
The main objective of this text is to present the most basic and fundamental aspects of the isotopic Lie-Santilli theory, more commonly known as Lie-Santilli isotheory or simply isotheory, for short. To achieve this goal, ...
Algebraic computation of genetic patterns related to three-dimensional evolution algebras [Article]
The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational ...