Quotient CI–algebras

Authors

  • A. Borumand Saeid Shahid Bahonar University of Kerman, Kerman, Iran
  • A. Rezaei Payame Noor University, Tehran, Iran

Keywords:

CI-algebra, transitive, commutative, filter, closed filter, congruence

Abstract

In this paper, we introduce the notion of (regular) congruence relations on CI – algebras and we construct quotient algebra ( X/θF ; *, F1) via a closed filter F of X. Moreover, we show that there exists a bijection from the set of all filters containing filter G to the set of all filters of X/G.

Author Biographies

A. Borumand Saeid, Shahid Bahonar University of Kerman, Kerman, Iran

Department of Mathematics, Kerman, Iran

A. Rezaei, Payame Noor University, Tehran, Iran

Department of Mathematics, P.O.BOX. 19395-3697 

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Published

2013-01-17

Issue

Vol. 5(54) No. 2 (2012)

Section

MATHEMATICS