Erratum for “on the ls-category of homomorphisms of groups with torsion” (Algebra and Discrete Mathematics)
Kuanyshov N. Lyubashenko V.V.
2024Lugansk Taras Shevchenko National University
Algebra and Discrete Mathematics
2024#38Issue 159 - 62 pp.
Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality cat(ϕ) = cd(ϕ) for homomorphisms ϕ: Γ → Λ between finitely generated abelian groups Γ and Λ, where ϕ(T(Γ)) = 0 for the torsion subgroups T(Γ) of Γ.
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