PreprintCC BY 4.0arXiv
Tensor factorization of local algebras
Abstract
Let A be a finite-dimensional local algebra over a splitting field. We prove that an irreducible tensor factorization A ≅ P1 ⊗ dotsb ⊗ Pn of the algebra A is unique up to isomorphism and order of P1, dotsc, Pn.
Related
- Factorization of central polynomials over division algebras
- Equivalence of Fixed-Rank and Rank-One Even-Order Symmetric Tensor Factorization
- CP-factorization for high dimensional tensor time series and double projection iterations
- Hyperspectral Anomaly Detection via Group Sparse Low-Rank Tensor Factorization With Automatic Anomaly Grouping
- Partial factorization and reflexivity of operator algebras
BibTeX
@misc{sakurai2026tensor,
title = {{Tensor factorization of local algebras}},
author = {Taro Sakurai},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38323},
eprint = {2609.38323},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38323},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Tensor factorization of local algebras
AU - Taro Sakurai
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.38323
UR - https://arxiv.org/abs/2609.38323
AB - Let A be a finite-dimensional local algebra over a splitting field. We prove that an irreducible tensor factorization A ≅ P_1 ⊗ dotsb ⊗ P_n of the algebra A is unique up to isomorphism and order of P_1, dotsc, P_n.
ER -