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首页> 外文期刊>The Journal of the London Mathematical Society >INVARIABILITY OF TRIVIAL EXTENSIONS OF TILTED ALGEBRAS UNDER STABLE EQUIVALENCES
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INVARIABILITY OF TRIVIAL EXTENSIONS OF TILTED ALGEBRAS UNDER STABLE EQUIVALENCES

机译:稳定对等条件下倾斜代数的次扩张性不变性

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摘要

As a sequel to [8], we investigate here the behaviour of the trivial extensions of tilted algebras under stable equivalence. It will be shown that if a finite-dimensional symmetric algebra Lambda is stably equivalent to the trivial extension of a tilted algebra B, then Lambda is the trivial extension of some tilted algebra A which has the same type as B. [References: 10]
机译:作为[8]的续篇,我们在这里研究倾斜代数的平凡扩展在稳定对等情况下的行为。将显示出,如果有限维对称代数Lambda稳定地等于倾斜代数B的平凡扩展,则Lambda是某些倾斜代数A的平凡扩展,后者与B具有相同的类型。[参考文献:10]

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