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Embeddings of quasicells of iterative algebras

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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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References

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1099–1111, September–October, 2006.

Original Russian Text Copyright © 2006 Malcev I. A.

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Malcev, I.A. Embeddings of quasicells of iterative algebras. Sib Math J 47, 901–910 (2006). https://doi.org/10.1007/s11202-006-0100-z

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Keywords

  • iterative algebra
  • clone
  • quasicell
  • many-valued logic
  • extension