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On the imbedding of semigroup identities in infinite irreducible sets

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Abstract

For a sufficiently extensive class of semigroup identities, it is proved that each identity from this class can be imbedded in such an infinite set of identities in which none of the identities is a corollary of the rest.

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Literature cited

  1. E. S. Lyapin, “One infinite irreducible set of semigroup identities,” Matem. Zametki,7, No. 5, 545–549 (1970).

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  2. P. Perkins, “Bases for equational theories of semigroups,” J. Algebra,11, No. 2, 298–314 (1969).

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Authors
  1. E. S. Lyapin
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Additional information

Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 95–104, July, 1972.

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Lyapin, E.S. On the imbedding of semigroup identities in infinite irreducible sets. Mathematical Notes of the Academy of Sciences of the USSR 12, 489–494 (1972). https://doi.org/10.1007/BF01094398

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  • DOI: https://doi.org/10.1007/BF01094398

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