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: 521
Topic: 38
Abstract:
CREATING NEW ALGEBRAIC HYPERSTRUCTURES FROM SANTILLI˘S ISO & GENO-THEORIES
T. Vougiouklis
Democritus University of Thrace, School of Education
681 00 Alexandroupolis, Greece, tvougiou@eled.duth.gr
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 ˇisotopies˘ and ˇgenotopies˘, born in 1960˘s, desperately needs ˇunits 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.