On Invariant Graph Of Γ-Near-Ring

Document Type : Research Paper

Author

Department of mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.

Abstract

Let U be an invariant subset of finite Γ-near-ring M. There are many papers that consider the graph respect to the near-ring and the interplay between algebraic structures and graphs are studied. Indeed, it is worthwhile to relate algebraic properties of near-ring to the combinatorics properties of assigned graphs. In this paper the graph with respect to an invariant subset U of Γ-near-ring M, denoted by Γ α U (M) is introduced and the basic properties of it is investigated. Also the relation between the commutativity of M and properties of this graph is presented.

Keywords

References

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Global Analysis and Discrete Mathematics
Volume 7, Issue 2
September 2022
Pages 145-150

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History

  • Receive Date: 21 July 2022
  • Revise Date: 10 December 2022
  • Accept Date: 19 November 2022

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