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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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
Kuantan, Pahang :
Kulliyyah of Science, International Islamic University Malaysia,
2019
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| Subjects: | |
| Online Access: | 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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| Summary: | 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. |
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| Physical Description: | xii, 108 leaves : illustrations ; 30cm. |
| Bibliography: | Includes bibliographical references (leaves 79-81). |