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arXiv · 1704.00398

Examples of finite dimensional algebras which do not satisfy the derived Jordan--H\"older property

Qunhua Liu·Dong Yang
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Abstract

We construct a matrix algebra $\Lambda(A,B)$ from two given finite dimensional elementary algebras $A$ and $B$ and give some sufficient conditions on $A$ and $B$ under which the derived Jordan--H\"older property (DJHP) fails for $\Lambda(A,B)$. This provides finite dimensional algebras of finite global dimension which do not satisfy DJHP.

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BibTeXRIS

Qunhua Liu, Dong Yang. 2017-04-03. Examples of finite dimensional algebras which do not satisfy the derived Jordan--H\"older property. https://doi.org/10.1007/s10468-019-09912-5

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