3 papers
math.AC2025
Note on length and multiplicity of modules over two-dimensional regular local rings
Futoshi Hayasaka, Vijay Kodiyalam
We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to att…
math.AC2025
Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem
Daniel Katz, Vijay Kodiyalam, J. K. Verma
We offer new definitions of joint reductions and mixed Buchsbaum-Rim multiplicity for certain collections of modules over a Noetherian local ring and illustrate their application t…
math.AC2025
On characterising analytically unramified local rings
Vijay Kodiyalam, J. K. Verma
We generalise a classic result of Rees to characterise analytically unramified local rings using Rees algebras of modules.