论文标题

琐碎扩展的特征

Characterisations of trivial extensions

论文作者

Fernandez, Elsa, Schroll, Sibylle, Treffinger, Hipolito, Trepode, Sonia, Valdivieso, Yadira

论文摘要

在本文中,我们从与关系的震颤方面赋予了微不足道的代数。该结果基于对附录中第一作者给出的代数琐事扩展的理想的明确描述。我们还从wakamatsu定理的颤抖和关系方面给出了一个新的证明,这决定了何时给定的代数何时具有同构琐事扩展。

In this paper we give a characterisation of trivial extension algebras in terms of quivers with relations. This result is based on a explicit description of the ideal of relations of the trivial extension of an algebra, given by the first author in the appendix. We also give a new proof of Wakamatsu's theorem in terms of their quiver and relations, which determines when two given algebras have isomorphic trivial extensions.

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