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An approach to the isotheory by means of extended pseudoisotopisms

 

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Author: Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2016
Published in: AIP Conference Proceedings, 1738 (450002), 1-4.
Document type: Article
Abstract: 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 extended isotopisms have focused on the construction of partial Latin squares having a Santilli autotopism in their autotopism group. In order to deal with new structures, we introduce in this paper the concept of extended pseudoisotopism. This is based on the use of onto linear transformations that are not necessarily injective. Some examples are exposed throughout the paper.
Cite: Falcón Ganfornina, R.M. y Núñez Valdés, J. (2016). An approach to the isotheory by means of extended pseudoisotopisms. AIP Conference Proceedings, 1738 (450002), 1-4.
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URI: http://hdl.handle.net/11441/43670

DOI: 10.1063/1.4952227

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