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Congruences on the Monoid of Monotone Injective Partial Self-Maps of L n × lexℤ with Cofinite Domains and Images

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We study congruences on the semigroup (ℤ nlex ) of monotone injective partial self-maps of the set of L n × lexℤ with cofinite domains and images, where L n × lexℤ is the lexicographic product of an n -element chain and a set of integers with ordinary linear order. The structure of the sublattice of congruences on (ℤ nlex ) contained in the least group congruence is described.

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Authors and Affiliations

  1. I. Franko Lviv National University, Lviv, Ukraine

    O. V. Gutik & I. V. Pozdniakova

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  1. O. V. Gutik
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  2. I. V. Pozdniakova
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 3, pp. 7–15, July–September, 2014.

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Gutik, O.V., Pozdniakova, I.V. Congruences on the Monoid of Monotone Injective Partial Self-Maps of L n × lexℤ with Cofinite Domains and Images. J Math Sci 217, 139–148 (2016). https://doi.org/10.1007/s10958-016-2962-3

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  • DOI: https://doi.org/10.1007/s10958-016-2962-3

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