### Hyper-Representations by Non Square Matrices Helix-Hopes

Received: 2 June 2015    Accepted: 2 June 2015    Published: 11 August 2015
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

Keywords

Hyperstructures, Hv-Structures, H/V-Structures, Hope, Helix-Hope

References
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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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journal = {American Journal of Modern Physics},
volume = {4},
number = {5-1},
pages = {52-58},
doi = {10.11648/j.ajmp.s.2015040501.17},
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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}
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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
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Author Information
• Democritus University of Thrace, School of Education, Athens, Greece

• Democritus University of Thrace, School of Education, Athens, Greece

• Sections