Email this article Congruences on the Monoid of Monotone Injective Partial Self-Maps of Ln × lexℤ with Cofinite Domains and Images
- Authors: Gutik O.V.1, Pozdniakova I.V.1
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Affiliations:
- I. Franko Lviv National University
- Issue: Vol 217, No 2 (2016)
- Pages: 139-148
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238000
- DOI: https://doi.org/10.1007/s10958-016-2962-3
- ID: 238000
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Abstract
We study congruences on the semigroup (ℤlexn) of monotone injective partial self-maps of the set of Ln × lexℤ with cofinite domains and images, where Ln × 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 (ℤlexn) contained in the least group congruence is described.
About the authors
O. V. Gutik
I. Franko Lviv National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
I. V. Pozdniakova
I. Franko Lviv National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
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