On classification of 3-D rock-paper-scissor algebra /

This research was sought to define the three-dimension genetic and evolution algebras generated by non-ergodic quadratic stochastic operator, where these algebras were known as the Rock-Paper-Scissor algebras (RPS). These algebras were classified in terms of the parameters in the non-ergodic quadrat...

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主要作者: Ftameh, Khaled (Author)
格式: Thesis
語言:English
出版: Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2019
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在線閱讀:Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library.
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040 |a UIAM  |b eng  |e rda 
041 |a eng 
043 |a a-my--- 
100 1 |a Ftameh, Khaled,  |e author 
245 1 0 |a On classification of 3-D rock-paper-scissor algebra /  |c by Khaled Ftameh 
264 1 |a Kuantan, Pahang :  |b Kulliyyah of Science, International Islamic University Malaysia,  |c 2019 
300 |a xii, 108 leaves :  |b illustrations ;  |c 30cm. 
336 |2 rdacontent  |a text 
347 |2 rdaft  |a text file  |b PDF 
502 |a Thesis (MSCTS)--International Islamic University Malaysia, 2019. 
504 |a Includes bibliographical references (leaves 79-81). 
520 |a This research was sought to define the three-dimension genetic and evolution algebras generated by non-ergodic quadratic stochastic operator, where these algebras were known as the Rock-Paper-Scissor algebras (RPS). These algebras were classified in terms of the parameters in the non-ergodic quadratic stochastic operator. We investigated the necessary and sufficient conditions when two three-dimension Rock-Paper-Scissor genetic and evolution algebras will be isomorphic. Moreover, we studied the cases of nilpotency and solvability of these algebras. Also, we studied the space of derivations of such algebras. In the end, all previous investigations (isomorphism, derivations, solvability, and nilpotency) were generalized for direct sum of such algebras. 
596 |a 1 6 
655 7 |a Theses, IIUM local 
690 |a Dissertations, Academic  |x Department of Computational and Theoretical Sciences  |z IIUM 
710 2 |a International Islamic University Malaysia.  |b Department of Computational and Theoretical Sciences 
856 4 |u https://lib.iium.edu.my/mom/services/mom/document/getFile/rx6ZPVQByRUHnpnz7zLXpRd0e8pa7E3C20200219123106631  |z Click here to view 1st 24 pages of the thesis. Members can view fulltext at the specified PCs in the library. 
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