Composition-Diamond lemma for tensor product of free algebras

被引：16
|
作者：
Bokut, L. A. [1 ,2 ]
Chen, Yuqun [1 ]
Chen, Yongshan [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia
来源：
JOURNAL OF ALGEBRA | 2010年 / 323卷 / 09期
关键词：
Grobner-Shirshov basis; Grobner basis; Free algebra; Polynomial algebra; Tensor product; GROBNER BASES; SINGULARITIES; RESOLUTION; VARIETY; FIELD;
D O I：
10.1016/j.jalgebra.2010.02.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish a Composition-Diamond lemma for the tensor product k < X > circle times k < Y > of two free algebras over a field. As an application, we construct a Grobner-Shirshov basis in k < X > circle times k < Y > by lifting a given Grobner-Shirshov basis in the tensor product kinverted right perpendicularXinverted left perpendicular circle times k < Y > in which kinverted right perpendicularXinverted left perpendicular is the polynomial algebra. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2520 / 2537
页数：18
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