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Hypergroup deformations of semigroups

(2019) SEMIGROUP FORUM. 99(1). p.169-195
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Abstract
We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (Trans Am Math Soc 202:339-356, 1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set Z+ of the non-negative integers along the diagonal. This works as motivation for us to study hypergroups or semi convolution spaces arising from max semigroups or general commutative semigroups via hypergroup deformation on idempotents.
Keywords
Algebra and Number Theory, Semigroups, "Max" semigroups, Discrete hypergroups, Discrete semi-hypergroup, Dunkl-Ramirez example, Hypergroup deformation of idempotents, Dual hypergroups, COMPACT

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MLA
Vishvesh, Kumar, et al. “Hypergroup Deformations of Semigroups.” SEMIGROUP FORUM, vol. 99, no. 1, 2019, pp. 169–95, doi:10.1007/s00233-019-10003-6.
APA
Vishvesh, K., Ross, K. A., & Singh, A. I. (2019). Hypergroup deformations of semigroups. SEMIGROUP FORUM, 99(1), 169–195. https://doi.org/10.1007/s00233-019-10003-6
Chicago author-date
Vishvesh, Kumar, Kenneth A. Ross, and Ajit Iqbal Singh. 2019. “Hypergroup Deformations of Semigroups.” SEMIGROUP FORUM 99 (1): 169–95. https://doi.org/10.1007/s00233-019-10003-6.
Chicago author-date (all authors)
Vishvesh, Kumar, Kenneth A. Ross, and Ajit Iqbal Singh. 2019. “Hypergroup Deformations of Semigroups.” SEMIGROUP FORUM 99 (1): 169–195. doi:10.1007/s00233-019-10003-6.
Vancouver
1.
Vishvesh K, Ross KA, Singh AI. Hypergroup deformations of semigroups. SEMIGROUP FORUM. 2019;99(1):169–95.
IEEE
[1]
K. Vishvesh, K. A. Ross, and A. I. Singh, “Hypergroup deformations of semigroups,” SEMIGROUP FORUM, vol. 99, no. 1, pp. 169–195, 2019.
@article{8662976,
  abstract     = {We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (Trans Am Math Soc 202:339-356, 1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set Z+ of the non-negative integers along the diagonal. This works as motivation for us to study hypergroups or semi convolution spaces arising from max semigroups or general commutative semigroups via hypergroup deformation on idempotents.},
  author       = {Vishvesh, Kumar and Ross, Kenneth A. and Singh, Ajit Iqbal},
  issn         = {0037-1912},
  journal      = {SEMIGROUP FORUM},
  keywords     = {Algebra and Number Theory,Semigroups,"Max" semigroups,Discrete hypergroups,Discrete semi-hypergroup,Dunkl-Ramirez example,Hypergroup deformation of idempotents,Dual hypergroups,COMPACT},
  language     = {eng},
  number       = {1},
  pages        = {169--195},
  title        = {Hypergroup deformations of semigroups},
  url          = {http://dx.doi.org/10.1007/s00233-019-10003-6},
  volume       = {99},
  year         = {2019},
}

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