2017/12/17 by Petr Kosenko, Kosenko, Petr · 1 citation
Mathematics · #46H25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1712.06177
openalex publication_date 2017/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If A is an algebra with finite right global dimension, then for any automorphism α and α-derivation δ the right global dimension of A[t; α, δ] satisfies rgld A ≤ rgld A[t; α, δ] ≤ rgld A + 1. We extend this result to the case of holomorphic Ore extensions and smooth crossed products by ℤ of ⊗-algebras.