2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications

Editors:Kongoli F, Gaines G, Georgiev S, Bhalekar A
Publisher:Flogen Star OUTREACH
Publication Year:2016
Pages:320 pages
ISBN:978-1-987820-42-3
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Creating New Algebraic Hyperstructures From Santilli’s Iso & Geno-Theories

    Thomas Vougiouklis1;
    1DEMOCRITUS UNIVERSITY OF THRACE, Xanthi, Greece;
    Type of Paper: Regular
    Id Paper: 522
    Topic: 38

    Abstract:

    In the quiver of hyperstructures Professor R. M. Santilli in early 90’es, tried to find algebraic structures in order to express his pioneer Lie-Santilli Theory. Santilli’s theory on ‘isotopies’ and ‘genotopies’, born in 1960’s, desperately needs ‘units e’ on left or right, which are nowhere singular, symmetric, real-valued, positive-defined for n-dimensional matrices based on the so called isofields. These elements can be found in hyperstructure theory, especially in Hv-structure theory introduced in 1990. This connection appeared first in 1996 and actually several Hv-fields, the e-hyperfields, can be used as isofields or genofields so as, in such way they should cover additional properties and satisfy more restrictions. Meanwhile, the hyperstructure theory obtained a lot of results and applications in mathematics as well as in other applied sciences. Last years a theory on Lie-Santilli’s Admissibility on the hyperstructure case was created.
    This presentation aims to review applicable hyperstructures in Lie Santilli theory especially when multivalued problems appeared, either in finite or in infinite case.

    Keywords:

    Mathematics;

    Cite this article as:

    Vougiouklis T. Creating New Algebraic Hyperstructures From Santilli’s Iso & Geno-Theories. In: Kongoli F, Gaines G, Georgiev S, Bhalekar A, editors. Sustainable Industrial Processing Summit SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications. Volume 4. Montreal(Canada): FLOGEN Star Outreach. 2016. p. 193-194.