Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We define and study the helix-hyperstructures on the representations and we extend our study up to Lie-Santilli theory by using ordinary fields. Therefore the related theory can be faced by defining the hyperproduct on the extended set of non square matrices. The obtained hyperstructure is an Hv-algebra or an Hv-Lie-alebra
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American Journal of Modern Physics (Volume 4, Issue 5-1)
This article belongs to the Special Issue Issue I: Foundations of Hadronic Mathematics |
| DOI | 10.11648/j.ajmp.s.2015040501.17 |
| Page(s) | 52-58 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Hyperstructures, Hv-Structures, H/V-Structures, Hope, Helix-Hope
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APA Style
T. Vougiouklis, S. Vougiouklis. (2015). Hyper-Representations by Non Square Matrices Helix-Hopes. American Journal of Modern Physics, 4(5-1), 52-58. https://doi.org/10.11648/j.ajmp.s.2015040501.17
ACS Style
T. Vougiouklis; S. Vougiouklis. Hyper-Representations by Non Square Matrices Helix-Hopes. Am. J. Mod. Phys. 2015, 4(5-1), 52-58. doi: 10.11648/j.ajmp.s.2015040501.17
AMA Style
T. Vougiouklis, S. Vougiouklis. Hyper-Representations by Non Square Matrices Helix-Hopes. Am J Mod Phys. 2015;4(5-1):52-58. doi: 10.11648/j.ajmp.s.2015040501.17
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Download@article{10.11648/j.ajmp.s.2015040501.17,
author = {T. Vougiouklis and S. Vougiouklis},
title = {Hyper-Representations by Non Square Matrices Helix-Hopes},
journal = {American Journal of Modern Physics},
volume = {4},
number = {5-1},
pages = {52-58},
doi = {10.11648/j.ajmp.s.2015040501.17},
url = {https://doi.org/10.11648/j.ajmp.s.2015040501.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2015040501.17},
abstract = {Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We define and study the helix-hyperstructures on the representations and we extend our study up to Lie-Santilli theory by using ordinary fields. Therefore the related theory can be faced by defining the hyperproduct on the extended set of non square matrices. The obtained hyperstructure is an Hv-algebra or an Hv-Lie-alebra},
year = {2015}
}
TY - JOUR T1 - Hyper-Representations by Non Square Matrices Helix-Hopes AU - T. Vougiouklis AU - S. Vougiouklis Y1 - 2015/08/11 PY - 2015 N1 - https://doi.org/10.11648/j.ajmp.s.2015040501.17 DO - 10.11648/j.ajmp.s.2015040501.17 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 52 EP - 58 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.s.2015040501.17 AB - Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We define and study the helix-hyperstructures on the representations and we extend our study up to Lie-Santilli theory by using ordinary fields. Therefore the related theory can be faced by defining the hyperproduct on the extended set of non square matrices. The obtained hyperstructure is an Hv-algebra or an Hv-Lie-alebra VL - 4 IS - 5-1 ER -
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