Quasi-tilted property of generalized lower triangular matrix algebras

Xiu-Jian Wang; Jia-Bao Liu; Xiu-Jian Wang; Jia-Bao Liu

doi:10.3934/era.2025134

Electronic Research Archive

2025, Volume 33, Issue 5: 3065-3073. doi: 10.3934/era.2025134

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Research article

Quasi-tilted property of generalized lower triangular matrix algebras

Xiu-Jian Wang ,
Jia-Bao Liu ^,

School of Finance and Mathematics, West Anhui University, Luan 237012, China

Received: 11 March 2025 Revised: 22 April 2025 Accepted: 06 May 2025 Published: 19 May 2025

In this paper, we investigated the generalized lower triangular matrix algebra, and gave the sufficient and necessary condition for the generalized lower triangular matrix algebra to be quasi-tilted.
- generalized lower triangular matrix algebra,
- quasi-tilted algebra,
- one-point extension algebra,
- semisimple algebra,
- hereditary algebra
Citation: Xiu-Jian Wang, Jia-Bao Liu. Quasi-tilted property of generalized lower triangular matrix algebras[J]. Electronic Research Archive, 2025, 33(5): 3065-3073. doi: 10.3934/era.2025134

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Abstract

In this paper, we investigated the generalized lower triangular matrix algebra, and gave the sufficient and necessary condition for the generalized lower triangular matrix algebra to be quasi-tilted.

References

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