Embeddings of quasicells of iterative algebras |
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Authors: | I A Malcev |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
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Abstract: | We study the relation between the projective and totally restricted extensions of preiterative algebras. We prove that each degree 1 projective extension of a quasicell of the algebra P k * is a maximal subalgebra of a degree 1 totally restricted extension of the same quasicell. We show also that a projective extension of a quasicell can always be distinguished from its totally restricted extension in the same algebra by hyperidentities. |
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Keywords: | iterative algebra clone quasicell many-valued logic extension |
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