Golod-Shafarevich algebras, free subalgebras and Noetherian images

详细信息    查看全文

• 作者：Agata Smoktunowicz ^{A.Smoktunowicz@ed.ac.uk}
• 关键词：16P40 ; 16S15 ; 16W50 ; 16P90 ; 16R10 ; 16D25 ; 16N40 ; 16N20
• 刊名：Journal of Algebra
• 出版年：2013
• 出版时间：1 May, 2013
• 年：2013
• 卷：381
• 期：Complete
• 页码：116-130
• 全文大小：248 K

文摘

It is shown that Golod-Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth. It is also shown that Golod-Shafarevich algebras of a reduced number of relations cannot be nil.