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Representation Theory. Representation of Universal Algebra

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мягкая обложка
96 страниц
2011 год

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1896 руб

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Passive representation in basis manifold is underlying of concept of geometric object and the theory of invariants of the representation of the universal algebra. Morphism of the representation is the mapping that conserves the structure of the representation. The representation of universal algebra has different applications in mathematics and physics. In the book I considered the concept of tower of representations of the tuple of universal algebras as the set of coordinated representations of universal algebras. The set of automorphisms of the representation of the universal algebra forms the group. Exploring of morphisms of the representation leads to the concepts of generating set and basis of representation. We say that there is a representation of the universal algebra B in the universal algebra A if the set of endomorphisms of the universal algebra A has the structure of universal algebra B. Therefore, the role of representation of the universal algebra is similar to the role of symmetry in geometry and physics. Twin representations of this group in basis manifold of the representation are called active and passive representations.

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Shoemaker, Functionalism and Qualia, Philosophical Studies 27, 1975, 291 315. 710 Критик может счесть не вполне убедительным этот переход от качественных характеров к качественным состояниям: почему иметь определенный качественный характер, находясь в том или ином ментальном состоянии, должно означать нахождение в определенном качественном состоянии? 711 N. Block and J. Fodor, What Psychological States Are Not?, Philosophical Review 81, no. 2, 1972, 159 181. 712 N. Block, Troubles with Functionalism, C. W. Savage (ed.), Perception and Cognition. Issues in the Foundations of Psychology, Minnesota Studies in the Philosophy of Science, vol. 9, Minneapolis: University of Minnesota Press, 1978, 261 325. 713 См.: J. Fodor, The Language of Thought, N. Y. Crowell, 1975, особенно: Ch. 2. 714 M. Tye, A Representational Theory of Pains and their Phenomenal Character, J. Tomberlin (ed.), Philosophical Perspectives, Vol. 9, Atascadero: Ridgeview Publishing Co., 1990, 236. 715 См.: M. Davis, Externalism and Experience, A. Clark, J. Ezquerro, and J. M ...»

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Representation Theory. Representation of Universal Algebra Aleks K. http://www.booksiti.net.ru/books/19284900

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