2018/03/25 by Edgar E. Enochs, Enochs, Edgar, Sergio Estrada +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1803.09301
openalex created_date 2016/06/24 · openalex publication_date 2018/03/25 · openalex updated_date 2026/07/28
We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. Then we show the periodicity of these invariants provided that R is a hypersurface. In case R is also Gorenstein, we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.