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Weakly Tripotent Elements in Quaternion Rings over ℤp

Weakly Tripotent Elements in Quaternion Rings over ℤp

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_34722c76c41a4151a2a9e1d66948b5bc

Weakly Tripotent Elements in Quaternion Rings over ℤp

About this item

Full title

Weakly Tripotent Elements in Quaternion Rings over ℤp

Publisher

Les Ulis: EDP Sciences

Journal title

ITM web of conferences, 2024-01, Vol.67, p.01032

Language

English

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Publication information

Publisher

Les Ulis: EDP Sciences

Subjects

Subjects and topics

More information

Scope and Contents

Contents

Let R be a ring. An element x ∈ R is weakly tripotent if x can be written as x3 = x or x3 = −x. In this paper, we discuss weakly tripotency in quaternion rings over ℤp, ℍ/ℤp. We also give some conditions for the element x ∈ ℍ/ℤp to be weakly tripotent.

Alternative Titles

Full title

Weakly Tripotent Elements in Quaternion Rings over ℤp

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Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_34722c76c41a4151a2a9e1d66948b5bc

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_34722c76c41a4151a2a9e1d66948b5bc

Other Identifiers

ISSN

2431-7578

E-ISSN

2271-2097

DOI

10.1051/itmconf/20246701032

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