1
Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey
(mehmet.merkepci@gmail.com)
2
Cairo University, Department of Mathematics, Egypt
(Rozyyy123n@gmail.com)
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.
Style | # |
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MLA | Mehmet Merkepci, Rozina Ali. "A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies." Galoitica: Journal of Mathematical Structures and Applications, Vol. 2, No. 2, 2022 ,PP. 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |
APA | Mehmet Merkepci, Rozina Ali. (2022). A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 2 ), 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |
Chicago | Mehmet Merkepci, Rozina Ali. "A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies." Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 no. 2 (2022): 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |
Harvard | Mehmet Merkepci, Rozina Ali. (2022). A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 2 ), 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |
Vancouver | Mehmet Merkepci, Rozina Ali. A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 2 ( 2 ): 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |
IEEE | Mehmet Merkepci, Rozina Ali, A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 2 , No. 2 , (2022) : 23-27 (Doi : https://doi.org/10.54216/GJMSA.020204) |