1
Tishreen University, Department of Mathematics, Latakia, Syria
(Mohammadabobala777@gmail.com)
Abstract :
This paper uses the algebraic structure of the group to introduce a novel algebraic game with three players that occurs over finite groups.
Also, it analyzes this game over some finite groups with orders up to ten.
Keywords :
Algebraic game; Winning strategy; MH-game.
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, Boise State university, 2015, pp13.
[2] 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.
[3] Selvakumari, K; and Lavanya, S, "Neutrosophic Fuzzy Soft Game", International Journal of Engineering and Technology, vol 7, 2018, pp. 667-669.
[4] 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.
[5] Ahmad Dar, Y; and Sharma, Y, "Algebraic Method in Game Theory", International Journal of Multidisciplinary Research and Development, vol. 4, 2017, pp. 368-372.
[6] Gavel, H; and Strimling, P, “Nim with a modular Muller Twist”, Integers, 2004.
[7] 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.
| Style | # |
|---|---|
| MLA | Mohammad Abobala. "A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems." Galoitica: Journal of Mathematical Structures and Applications, Vol. 1, No. 1, 2022 ,PP. 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |
| APA | Mohammad Abobala. (2022). A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 1 ), 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |
| Chicago | Mohammad Abobala. "A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems." Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 no. 1 (2022): 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |
| Harvard | Mohammad Abobala. (2022). A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 1 ), 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |
| Vancouver | Mohammad Abobala. A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 1 ( 1 ): 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |
| IEEE | Mohammad Abobala, A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 1 , No. 1 , (2022) : 42-47 (Doi : https://doi.org/10.54216/GJMSA.010104) |