Kalao’s Maritime Journal
Vol 4 No 2 (2023): KALAO’S MARITIME JOURNAL

Ring Bersih-G(X) Kuat

Frisca Mareyta Pongoh (Politeknik Pelayaran Sulawesi Utara)

Article Info

Publish Date
28 Mar 2024

Abstract

Let R be an associative ring with identity, let C(R) denoted the center of R, and let be a polynomial in the polynomial ring C(R)[x]. Ring R is called strongly - clean if every element can be written as with , u is a unit of R, and. The relation between strongly -clean rings and strongly clean rings are determined, some general properties of strongly -clean rings and clean ideal are given. In this paper, by the definition and properties of clean ideal, we introduce definition and properties of-clean ideal with some examples of it. If ring R is -clean we must have that has at least two roots in R. But, for an ideal in ring R, it can be -clean although only has one root in R. The example for this case is given.

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Journal Info
Kalao’s Maritime Journal
Website

Abbrev

kalaos

Publisher

Politeknik Pelayaran Sulawesi Utara

Subject

Control & Systems Engineering Electrical & Electronics Engineering Engineering Industrial & Manufacturing Engineering Transportation

Description

Kalao’s Maritime Journal, dengan E-ISSN : 3047-8383, P-ISSN : 2776-2718, Kalao’s maritime journal adalah jurnal berkala yang diterbitkan Politeknik Pelayaran Sulawesi Utara yang memfasilitasi para peneliti untuk berdiskusi, mengejar dan mempromosikan pengetahuan di bidang-bidang yang muncul dan ...