Hyper-Representations by Non Square Matrices Helix-Hopes
American Journal of Modern Physics
Volume 4, Issue 5-1, October 2015, Pages: 52-58
Received: Jun. 2, 2015; Accepted: Jun. 2, 2015; Published: Aug. 11, 2015
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T. Vougiouklis, Democritus University of Thrace, School of Education, Athens, Greece
S. Vougiouklis, Democritus University of Thrace, School of Education, Athens, Greece
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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
Hyperstructures, Hv-Structures, H/V-Structures, Hope, Helix-Hope
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T. Vougiouklis, S. Vougiouklis, Hyper-Representations by Non Square Matrices Helix-Hopes, American Journal of Modern Physics. Special Issue: Issue I: Foundations of Hadronic Mathematics. Vol. 4, No. 5-1, 2015, pp. 52-58. doi: 10.11648/j.ajmp.s.2015040501.17
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