Algebraic realization of chain maps in differential graded algebras over a principal ideal domain

• Mahmoud Benkhalifa ^[1]
  1. [1] University of Sharjah

     University of Sharjah

     Emiratos Árabes Unidos

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 40, Nº 2, 2025, págs. 219-234
• Idioma: inglés
• DOI: 10.17398/2605-5686.40.2.219
• Enlaces
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• Resumen

  • Let R be a principal ideal domain, and let (T (V ), ∂) and (T (W ), δ) be two free differential graded R-algebras. Let (V, d) and (W, d0 ) denote the chain complexes of the indecomposables of (T (V ), ∂) and (T (W ), δ), respectively. Given a chain map ξ* : (V, d) → (W, d'), this paper addresses the problem of determining whether there exists a DGA-map α : (T (V ), ∂) → (T (W ), δ) such that H* (α) = H* (ξ* ).

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