A normal form algorithm for modules over \(k[x,y]/\langle xy \rangle\)

DOI10.1006/jabr.1996.0295zbMath0979.13029OpenAlexW1999882122MaRDI QIDQ1815025

Bernd Sturmfels, Reinhard C. Laubenbacher

Publication date: 1 February 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0295

zbMATH Keywords

Gröbner basisSmith normal formalgorithm to classify finitely generated modulesmodules over Dedekind-like ringsmutually annihilating linear operatorsnormal form of a pair of mutually annihilating matrices

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (5)

Classification of modules for infinite-dimensional string algebras ⋮ Higher level Zhu algebras and modules for vertex operator algebras ⋮ Pairs of mutually annihilating operators ⋮ Jordan forms for mutually annihilating nilpotent pairs ⋮ The level one Zhu algebra for the Virasoro vertex operator algebra

This page was built for publication: A normal form algorithm for modules over \(k[x,y]/\langle xy \rangle\)