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386714

Cleanness of overrings of polynomial rings

Article

Last updated: 05 Jan 2025

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Abstract

Let R be a commutative ring with identity. R is called clean (respectively, almost clean) if
every element in R is a sum of an idempotent and a unit (respectively, a regular element). In this
paper, we clarify conditions under which the two overrings RðxÞ and Rhxi of the ring of polynomials
R½x are (almost) clean rings.

DOI

10.1016/j.joems.2014.08.003

Authors

First Name

Hani

Last Name

Khashan

MiddleName

A.

Affiliation

Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

Email

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City

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Orcid

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First Name

Worood

Last Name

Burhan

MiddleName

-

Affiliation

Department of Mathematics, Al al-Bayt University, Mafraq, Jordan

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Volume

24

Article Issue

1

Related Issue

51061

Issue Date

2016-03-01

Receive Date

2024-10-17

Publish Date

2016-03-01

Page Start

1

Page End

4

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 1_Pages 1-4.pdf

PDF . 367.5kB

Link

https://joems.journals.ekb.eg/article_386714.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386714

Order

386,714

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Cleanness of overrings of polynomial rings

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Article

Created At

21 Dec 2024