2015/02/05 by Dennis S. Keeler, D. S. Keeler, K. Retert
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Automorphism #Bimodule #Commutative property #Endomorphism #Mathematics #Noetherian #Noncommutative algebraic geometry #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Rings, Modules, and Algebras #Sigma #math.AG #math.RA #msc:14A22 #msc:14F17 #msc:16S38 #msc:16W50
paper · pdf · doi:10.1016/j.jalgebra.2015.01.025
published as J. Algebra 429 (2015), 236-252 · 17 pages, to appear in J. Algebra
arxiv created 2015/02/05 · openalex publication_date 2015/02/19 · arxiv updated 2015/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Let X be a projective integral scheme with endomorphism σ, where σ is finite, but not an automorphism. We examine noncommutative ampleness of bimodules defined by σ. In contrast to the automorphism case, one-sided ampleness is possible. We also find that rings and bimodule algebras associated with σ are not noetherian.