Abstract:
We prove that the class of subdirectly irreducible acts over a fixed finite semigroup is finitely axiomatized. We establish that the class of subdirectly irreducible acts over an infinite right (left) zero semigroup and over an infinite elementary Abelian 2-group is not finitely axiomatized.
Key words:act over semigroup, subdirectly irreducible act, finitely axiomatized class, left zero semigroup, right zero semigroup, elementary Abelian 2-group.
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