上三角矩阵的graded-star-codimension 序列渐近行为
环与代数
2024-12-25 v4
摘要
我们研究以群秩和齐次反演端构的上三角矩阵代数。我们计算其(graded) star-码维数序列的渐近行为。结果发现，序列的渐近增长独立于所考虑的群秩和反演，仅取决于矩阵代数的规模。这一对群秩的独立性也适用于上三角矩阵associative代数的graded 码维数序列。
引用
@article{arxiv.2408.00087,
title = {On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices},
author = {Diogo Diniz and Felipe Yukihide Yasumura},
journal= {arXiv preprint arXiv:2408.00087},
year = {2024}
}
备注
arXiv admin note: text overlap with arXiv:2402.02671