We present the largest class of hyperstructures called Hv-structures. In Hv-groups and Hv-rings, the fundamental relations are defined and they connect the algebraic hyperstructure theory with the classical one. Using the fundamental relations, the Hv-fields are defined and their elements are called hypernumbers or Hv-numbers. Hv-matrices are defined to be matrices with entries from an Hv-field. We present the related theory and results on hypermatrices and on the Lie-Santilli admissibility
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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.2015040501.15 |
| Page(s) | 38-46 |
| 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 |
Representations, Hope, Hyperstructures, Hv-Structures
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APA Style
Thomas Vougiouklis. (2015). Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility. American Journal of Modern Physics, 4(5-1), 38-46. https://doi.org/10.11648/j.ajmp.s.2015040501.15
ACS Style
Thomas Vougiouklis. Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility. Am. J. Mod. Phys. 2015, 4(5-1), 38-46. doi: 10.11648/j.ajmp.s.2015040501.15
AMA Style
Thomas Vougiouklis. Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility. Am J Mod Phys. 2015;4(5-1):38-46. doi: 10.11648/j.ajmp.s.2015040501.15
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Download@article{10.11648/j.ajmp.s.2015040501.15,
author = {Thomas Vougiouklis},
title = {Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility},
journal = {American Journal of Modern Physics},
volume = {4},
number = {5-1},
pages = {38-46},
doi = {10.11648/j.ajmp.s.2015040501.15},
url = {https://doi.org/10.11648/j.ajmp.s.2015040501.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2015040501.15},
abstract = {We present the largest class of hyperstructures called Hv-structures. In Hv-groups and Hv-rings, the fundamental relations are defined and they connect the algebraic hyperstructure theory with the classical one. Using the fundamental relations, the Hv-fields are defined and their elements are called hypernumbers or Hv-numbers. Hv-matrices are defined to be matrices with entries from an Hv-field. We present the related theory and results on hypermatrices and on the Lie-Santilli admissibility},
year = {2015}
}
TY - JOUR T1 - Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility AU - Thomas Vougiouklis Y1 - 2015/08/11 PY - 2015 N1 - https://doi.org/10.11648/j.ajmp.s.2015040501.15 DO - 10.11648/j.ajmp.s.2015040501.15 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 38 EP - 46 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.s.2015040501.15 AB - We present the largest class of hyperstructures called Hv-structures. In Hv-groups and Hv-rings, the fundamental relations are defined and they connect the algebraic hyperstructure theory with the classical one. Using the fundamental relations, the Hv-fields are defined and their elements are called hypernumbers or Hv-numbers. Hv-matrices are defined to be matrices with entries from an Hv-field. We present the related theory and results on hypermatrices and on the Lie-Santilli admissibility VL - 4 IS - 5-1 ER -
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