Galoitica: Journal of Mathematical Structures and Applications

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Volume 2 , Issue 2 , PP: 23-27, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies

Mehmet Merkepci 1 * , Rozina Ali 2

  • 1 Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey - (mehmet.merkepci@gmail.com)
  • 2 Cairo University, Department of Mathematics, Egypt - (Rozyyy123n@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.020204

    Received: March 10, 2022 Accepted: September 06, 2022
    Abstract

    In This work, we define two novel algebraic games over neutrosophic AH-groups. Also, we present a solution of these games in many possible cases, where some winning strategies will be discussed and illustrated by examples.

    Keywords :

    winning strategy , algebraic game , neutrosophic group , On My Turf

    References

    [1] Babinkostova. L ., Cosket. S ., Kontradyuk, D., Navert. S ., Potter, S., and Scheepers, M ., A study of

    games over finite groups , publication at www.researchgate.net ,July 2015, Boise State university pp.1-3.

    [2] Kandasamy ,V., and Smarandache ,F ., some neutrosophic algebraic structures and neutrosophic Nalgebraic

    structures , Hexis , Phonex , Arizona 2006 , pp. 219.

    [3] Chalapathi ,T., and Kumar, K ., neutrosophic graphs of finite groups , neutrosophic sets and systems , vol.

    15 , (2017).

    [4] Abobala, M., " A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems",

    Galoitica Journal Of Mathematical Structures And Applications, 2022.

    [5] Bal, M., and Abobala, M., " On The Representation Of Winning Strategies Of Finite Games By Groups and

    Neutrosophic Groups", Journal Of Neutrosophic and Fuzzy Systems, 2022.

    [6] Benesh, B.J; Ernest, D . C; and Sieben, N, "Impartial Avoidance Games for Generating Finite Groups",

    North-Western European Journal of Mathematics, 2016, pp. 89-103.

    [7] Ahmad Dar, Y; and Sharma, Y, "Algebraic Method in Game Theory", International Journal of

    Multidisciplinary Research and Development, vol. 4, 2017, pp. 368-372.

    [8] Gavel, H; and Strimling, P, “Nim with a modular Muller Twist”, Integers, 2004.

    [9] John Milnor, “Sums of positional games”, Ann. Of Math. Stud. (Contributions to the Theory of Games,

    H.W. Kuhn and A. W. Tucker, eds.), Princeton, 2(28):291-301, 1953.

    [10] Abobala, M., "Analyzing on My Turf Game Over Some Finite Non-Abelian Groups ", Galoitica Journal

    Of Mathematical Structures And Applications, 2022.

    Cite This Article As :
    Merkepci, Mehmet. , Ali, Rozina. A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2022, pp. 23-27. DOI: https://doi.org/10.54216/GJMSA.020204
    Merkepci, M. Ali, R. (2022). A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Galoitica: Journal of Mathematical Structures and Applications, (), 23-27. DOI: https://doi.org/10.54216/GJMSA.020204
    Merkepci, Mehmet. Ali, Rozina. A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Galoitica: Journal of Mathematical Structures and Applications , no. (2022): 23-27. DOI: https://doi.org/10.54216/GJMSA.020204
    Merkepci, M. , Ali, R. (2022) . A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Galoitica: Journal of Mathematical Structures and Applications , () , 23-27 . DOI: https://doi.org/10.54216/GJMSA.020204
    Merkepci M. , Ali R. [2022]. A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Galoitica: Journal of Mathematical Structures and Applications. (): 23-27. DOI: https://doi.org/10.54216/GJMSA.020204
    Merkepci, M. Ali, R. "A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 23-27, 2022. DOI: https://doi.org/10.54216/GJMSA.020204