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

Аннотация

We study congruences on the semigroup (ℤ_lexⁿ) 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_lexⁿ) contained in the least group congruence is described.