Grobner-Shirshov Bases for Plactic Algebras

• 作者: Jan Oknifiski Lukasz Kubat
• 来源期刊: 代数集刊:英文版
• 学科: 工学
• 关键词: Grobner基 c代数 俄国 代数构造 自由代数 字典顺序 自然度
• 年，卷（期）: 2014,（4）
• 页码范围: 591-596
• 页数: 6页
• 分类号: TP301.6
• 语种: 中文

摘要

A finite GrSbner-Shirshov basis is constructed for the plactic algebra of rank 3 over a field K. It is also shown that plactic algebras of rank exceeding 3 do not have finite GrSbner-Shirshov bases associated to the natural degree-lexicographic ordering on the corresponding free algebra. The latter is in contrast with the case of a strongly related class of algebras, called Chinese algebras.