JP Journal of Algebra, Number Theory and Applications
Volume 48, Issue 2, Pages 167 - 175
(November 2020) http://dx.doi.org/10.17654/NT048020167 |
|
WEAKLY PRIMARY IDEAL AND Φ-PRIMARY IDEAL IN AMALGAMATED ALGEBRA ALONG AN IDEAL
Moussa THIAW
|
Abstract: For a given ring homomorphism the amalgamation of A with B along an ideal J of B with respect to f is the subring of
The purpose of this paper is to study the form of weakly primary ideals and the form of Φ-primary ideals of amalgamation of A with B along J with respect to f. In this paper, we show that is a weakly primary ideal of if and only if I is a weakly primary ideal of A. We show also that if I is a f-primary ideal, then so is |
Keywords and phrases: amalgamation, weakly primary ideals, Φ-primary ideals, radical.
|
|
Number of Downloads: 269 | Number of Views: 713 |
|