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Ihm-admissible and Ihm-forbidden quasiorders on sets

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Abstract

We consider the existence problems for quasiorders on sets in terms of which it is possible to describe the algebraic closure operator on subsets of universal algebras with a given universe.

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References

  1. Plotkin B. I., “Some concepts of algebraic geometry in universal algebra,” St. Petersburg Math. J., 9, No. 4, 859–879 (1998).

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  2. Pinus A. G., “On the quasiorder induced by inner homomorphisms and the operator of algebraic closure,” Sib. Math. J., 56, No. 3, 499–504 (2015).

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Correspondence to A. G. Pinus.

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The author was supported by the Ministry of Education and Science of the Russian Federation (Government Task No. 2014/138, Project 1052).

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 5, pp. 1109–1113, September–October, 2016; DOI: 10.17377/smzh.2016.57.516.

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Pinus, A.G. Ihm-admissible and Ihm-forbidden quasiorders on sets. Sib Math J 57, 866–869 (2016). https://doi.org/10.1134/S0037446616050165

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  • DOI: https://doi.org/10.1134/S0037446616050165

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