Trivial extension of Koszul algebras

doi:10.1007/s11464-017-0655-y

Front. Math. China

2017, Vol. 12

Issue (5) : 1045-1056 https://doi.org/10.1007/s11464-017-0655-y

RESEARCH ARTICLE

Trivial extension of Koszul algebras

Zhi CHENG(

)

School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241002, China

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Abstract

Let Λ be a Koszul algebra, and let Mbe a graded Λ-bimodule. We prove that the trivial extension algebra of Λ by Mis also a Koszul algebra whenever Mis Koszul as a left Λ-module. Applications and examples are also provided.

Keywords Koszul algebra Koszul module trivial extension

Corresponding Author(s): Zhi CHENG

Issue Date: 30 September 2017

Cite this article:

Zhi CHENG. Trivial extension of Koszul algebras[J]. Front. Math. China, 2017, 12(5): 1045-1056.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-017-0655-y
https://academic.hep.com.cn/fmc/EN/Y2017/V12/I5/1045

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