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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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
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author Sinan O. AL-Salihi
Alaa N. Salman
author_facet Sinan O. AL-Salihi
Alaa N. Salman
author_sort Sinan O. AL-Salihi
collection DOAJ
container_title Tikrit Journal of Pure Science
description 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.
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spelling doaj-art-e107d0415145445ebc82ffc5fbffebfd2025-08-20T03:17:01ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262020-02-0125110.25130/tjps.v25i1.223Feeble ringSinan O. AL-SalihiAlaa N. Salman 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. https://tjpsj.org/index.php/tjps/article/view/223Semiringidealhomomorphism semiringfeebl-ring
spellingShingle Sinan O. AL-Salihi
Alaa N. Salman
Feeble ring
Semiring
ideal
homomorphism semiring
feebl-ring
title Feeble ring
title_full Feeble ring
title_fullStr Feeble ring
title_full_unstemmed Feeble ring
title_short Feeble ring
title_sort feeble ring
topic Semiring
ideal
homomorphism semiring
feebl-ring
url https://tjpsj.org/index.php/tjps/article/view/223
work_keys_str_mv AT sinanoalsalihi feeblering
AT alaansalman feeblering