1. INTERSECTION OF ESSENTIAL IDEALS IN THE RING OF REAL-VALUED CONTINUOUS FUNCTIONS ON A FRAME

A. A. Estaji; A. Gh. Karimi Feizabadi; M. Abedi

Volume 5, Issue 2 , Winter and Spring 2018, , Pages 149-161

Abstract
  A frame $L$ is called {\it coz-dense} if $\Sigma_{coz(\alpha)}=\emptyset$ implies $\alpha=\mathbf 0$. Let $\mathcal RL$ be the ring of real-valued continuous functions on a coz-dense and completely regular frame $L$. We present a description of the socle of the ring $\mathcal RL$ based on minimal ideals ...  Read More

2. FUZZY NEXUS OVER AN ORDINAL

A. A. Estaji; T. Haghdadi; J. Farokhi Ostad

Volume 3, Issue 1 , Summer and Autumn 2015, , Pages 65-82

Abstract
  ‎‎In this paper‎, ‎we define fuzzy subnexuses over a nexus $N$‎. ‎Define and study the notions of the prime fuzzy subnexuses and the fractions‎‎induced by them‎. ‎Finally‎, ‎we show that if S is a meet‎‎closed subset of the set Fsub(N), ‎of ...  Read More