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Laws for triangular matrices
Abstract
We investigate identities satisfied by monoids of triangular matrices over fields and over additively idempotent semirings with 0 and 1, and exhibit several new instances in which these identities admit no finite axiomatization.
Related
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- The Karcher Mean on Lie Groups of Upper Triangular Matrices
- D(N)-quadruples in upper-triangular 2×2 integer matrices
- The Karcher Mean on 2× 2 Triangular Matrices with Positive Diagonal Entries
- Cardinalities of Jordan Diophantine sets of upper triangular integer matrices
BibTeX
@misc{hu2026laws,
title = {{Laws for triangular matrices}},
author = {Xun Hu and Yanfeng Luo and Mikhail Volkov},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28657},
eprint = {2608.28657},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28657},
}
RIS
TY - UNPB
TI - Laws for triangular matrices
AU - Xun Hu
AU - Yanfeng Luo
AU - Mikhail Volkov
PY - 2026
DA - 2026/08/21
PB - arXiv
DO - 10.48550/arxiv.2608.28657
UR - https://arxiv.org/abs/2608.28657
AB - We investigate identities satisfied by monoids of triangular matrices over fields and over additively idempotent semirings with 0 and 1, and exhibit several new instances in which these identities admit no finite axiomatization.
ER -