Abstract

In the present paper, the concept of a NQ-critical algebra is introduced. It is proved that if every connected component of a finitely generated algebra \(A\) has the least subalgebra with respect to inclusion, then \(A\) is either NQ-critical or a subdirect product of proper NQ-critical subalgebras.

中文翻译：

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摘要

在本文中，介绍了NQ临界代数的概念。证明如果有限生成的代数\（A \）的每个连接的分量相对于包含而言具有最小的子代数，则\（A \）是NQ临界的或适当NQ临界子代数的子直接乘积。