Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

Thomas Vougiouklis

doi:doi:10.11648/j.ajmp.s.2015040501.15

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Hypermathematics, Hv-Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility

Thomas Vougiouklis

Published in American Journal of Modern Physics (Volume 4, Issue 5-1)

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

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Abstract

We present the largest class of hyperstructures called H_v-structures. In Hv-groups and H_v-rings, the fundamental relations are defined and they connect the algebraic hyperstructure theory with the classical one. Using the fundamental relations, the H_v-fields are defined and their elements are called hypernumbers or Hv-numbers. H_v-matrices are defined to be matrices with entries from an H_v-field. We present the related theory and results on hypermatrices and on the Lie-Santilli admissibility

Published in	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.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Representations, Hope, Hyperstructures, H_v-Structures

References

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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

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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

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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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@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}
}

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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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Author Information

Thomas Vougiouklis

Democritus University of Thrace, School of Education, Alexandroupolis, Greece

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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

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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

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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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@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}
}

Copy | Download

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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