Decomposition of pointwise finite-dimensional persistence modules

作者:Crawley Boevey William*
来源:Journal of Algebra and Its Applications, 2015, 14(5): 1550066.
DOI:10.1142/S0219498815500668

摘要

We show that a persistence module (for a totally ordered indexing set) consisting of finite-dimensional vector spaces is a direct sum of interval modules. The result extends to persistence modules with the descending chain condition on images and kernels.

  • 出版日期2015-6