INTEGRALLY CLOSED RINGS AND THE ARMENDARIZ PROPERTY

Authors : Mangesh B Rege, Ardeline Mary Buhphang

Pages : 11-17

View : 8 | Download : 9

Publication Date : 2007-06-01

Article Type : Research Paper

Abstract :Armendariz rings are defined through polynomial rings over them. Polynomial rings over Armendariz rings are known to be Armendariz; we show that power series rings need not be so.
Keywords : Armendariz ring, Armendariz module, integrally closed ring