Groebner-Shirshov bases for extensions of algebras

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dc.creatorChen, Yuqun
dc.date2008-04-04
dc.date.accessioned2026-07-07T12:48:18Z
dc.date.available2026-07-07T12:48:18Z
dc.descriptionAn algebra $\cal{R}$ is called an extension of the algebra $M$ by $B$ if $M^2=0$, $M$ is an ideal of $\cal{R}$ and $\cal{R}$$/M\cong B$ as algebras. In this paper, by using the Gröbner-Shirshov bases, we characterize completely the extensions of $M$ by $B$. An algorithm to find the conditions of an algebra $A$ to be an extension of $M$ by $B$ is obtained.
dc.identifierhttps://arxiv.org/abs/0804.0639
dc.identifierhttp://arxiv.org/abs/0804.0639
dc.identifierAlgebra Colloq., 16(2)(2009), 283-292.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222011
dc.subjectRings and Algebras
dc.subject16S15, 13P10
dc.titleGroebner-Shirshov bases for extensions of algebras
dc.typetext

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