Geodesic
Axiomatizability of the class of subdirectly irreducible acts over an Abelian group
Algebra i logika, Tome 59 (2020) no. 5, pp. 582-593

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Abelian groups are described over which the class of all subdirectly irreducible acts is axiomatizable. Also some properties of subdirectly irreducible acts over Abelian groups are studied. It is proved that all connected acts over an Abelian group are subdirectly irreducible iff the group is totally ordered.
Keywords: axiomatizable class of algebras, act over group, subdirectly irreducible act over group. 
@article{AL_2020_59_5_a4,
     author = {A. A. Stepanova and D. O. Ptakhov},
     title = {Axiomatizability of the class of subdirectly irreducible acts over an {Abelian} group},
     journal = {Algebra i logika},
     pages = {582--593},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_5_a4/}
}
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A. A. Stepanova; D. O. Ptakhov. Axiomatizability of the class of subdirectly irreducible acts over an Abelian group. Algebra i logika, Tome 59 (2020) no. 5, pp. 582-593. http://geodesic.mathdoc.fr/item/AL_2020_59_5_a4/