Volume 2 • Issue 2 • PP: 23-27 • 2022
A Study of Some Neutrosophic Algebraic Games and Their Winning Strategies
Open Access & Copyright
© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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
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
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.