4 papers
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…
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…
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.
Indecomposable integrally closed modules of rank 3 over two-dimensional regular local rings
Futoshi Hayasaka, Vijay Kodiyalam
We characterise ideals in two-dimensional regular local rings that arise as ideals of maximal minors of indecomposable integrally closed modules of rank three.