Some properties of finite generalized-groups

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Author

1 Department of Pure Mathematics , Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

2 Mahani Math Center, Afzalipour Research Institute, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the groups. Many scientists have investigated various applications of generalized-groups. Notably, this algebraic structure has connections to the unified gauge theory. In this article, we investigate the structures and properties of generalized-groups, providing examples and results within this fascinating subject. Specially, we show that the generalized Lagrange Theorem may not be true for generalized-groups.

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References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 101-107

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History

  • Receive Date: 29 April 2024
  • Revise Date: 07 July 2024
  • Accept Date: 04 August 2024

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