A note on the countable union of prime submodules

作者：M R Pournaki; M Tousi

来源：International Journal of Mathematics and Mathematical Sciences, 2001.

DOI：10.1155/s0161171201011085

Let M be a finitely-generated module over a Noetherian ring R. Suppose %26#120094; is an ideal of R and let N=%26#120094;M and %26#120095;=Ann(M/N). If %26#120095;%26#10949;J(R), M is complete with respect to the %26#120095;-adic topology, {Pi}i%26#8805;1 is a countable family of prime submodules of M, and x%26#8712;M, then x

• 出版日期2001