Principal quasi-ideals of cohomological dimension 1

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Author: Novikov, B.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155284
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Principal quasi-ideals of cohomological dimension 1 / B.V. Novikov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 87–92. — Бібліогр.: 6 назв. — англ.

We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and
 only if it is free.