@article{abedi_2020, 
  title={ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS}, 
  DOI={10.22044/jas.2019.8150.1399}, 
  abstractNote={We study primary ideals of the ring $mathcal{R}L$ of real-valued continuous functions on a completely regular frame $L$. We observe that prime ideals and primary ideals coincide in a $P$-frame. It is shown that every primary ideal in $mathcal{R}L$ is contained in a unique maximal ideal, and an ideal $Q$ in $mathcal{R}L$ is primary if and only if $Q capmathcal{R}^*L$ is a primary ideal in $mathcal{R}^*L$. We show that every pseudo-prime (primary) ideal in $mathcal{R}L$ is either an essential ideal or a maximal ideal which is at the same time a minimal prime ideal. Finally, we prove that if $L$ is a connected frame, then the zero ideal in $mathcal{R}L$ is decomposable if and only if $L={bf2}$.}, 
  publisher={Shahrood University of Technology}, 
  author={Abedi}, 
  year={2020}
  }