Feeble ring

An ideal A of a semiring S is called k-ideal if for any two elements r A and x S such that r A, then x Aʺ. This leads us to introduce the new concept feeble ring as generalization of k-ideal. Several basic properties, example and characterization of this concept are given. Moreover, the study inves...

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Bibliographic Details
Published in:Tikrit Journal of Pure Science
Main Authors: Sinan O. AL-Salihi, Alaa N. Salman
Format: Article
Language:English
Published: Tikrit University 2020-02-01
Subjects:
Online Access:https://tjpsj.org/index.php/tjps/article/view/223
Description
Summary:An ideal A of a semiring S is called k-ideal if for any two elements r A and x S such that r A, then x Aʺ. This leads us to introduce the new concept feeble ring as generalization of k-ideal. Several basic properties, example and characterization of this concept are given. Moreover, the study investigate relationship of feeble ring with other classes.
ISSN:1813-1662
2415-1726