Bibliographic Details
| Title: |
Identities and derived lengths of finitary incidence algebras and their group of units |
| Authors: |
Khrypchenko, Mykola, Siciliano, Salvatore |
| Publication Year: |
2023 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Rings and Algebras, Mathematics - Group Theory, 16S50, 16R10, 17B60 |
| More Details: |
Let $FI(X,K)$ be the finitary incidence algebra of a poset $X$ over a field $K$. In this short note we establish when $FI(X,K)$ satisfies a polynomial identity and when its group of units $\mathcal{U}(FI(X,K))$ satisfies a group identity. The Lie derived length of $FI(X,K)$ and the derived length of $\mathcal{U}(FI(X,K))$ are also determined.
Comment: Revised according to referee's comments |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2302.01868 |
| Accession Number: |
edsarx.2302.01868 |
| Database: |
arXiv |
