首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Coherence of some rings of functions
Authors:WS McVoy  LA Rubel
Institution:University of Illinois, Urbana-Champaign, Illinois 61801 USA
Abstract:To say that a commutative ring R with unit is coherent amounts to saying, in case R has no divisors of zero, that the intersection of two finitely generated ideals in R is finitely generated. We prove that the ring H of bounded analytic functions in the unit disc is coherent, while the disc algebra A is not coherent. For any positive measure μ, L(μ) is coherent.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号