Publication
On polynomial equation rings and radicals
| dc.contributor.author | Mendes, D. I. C. | |
| dc.contributor.author | Ochirbat, B. | |
| dc.contributor.author | Tumurbat, S. | |
| dc.date.accessioned | 2020-03-02T16:45:03Z | |
| dc.date.available | 2020-03-02T16:45:03Z | |
| dc.date.issued | 2019-09-27 | |
| dc.description.abstract | The notion of n-polynomial equation ring, for an arbitrary but fixed positive integer n, is introduced. A ring A is called an n- polynomial equation ring if γ(A[Xn]) = γ(A)[ Xn], for all radicals γ. If this equation holds for all hereditary radicals γ, then A is said to be a hereditary n-polynomial equation ring. Various characterizations of these rings are provided. It is shown that, for any ring A, the zero-ring on the additive group of A is an n- polynomial equation ring and that any Baer radical ring is a hereditary n- polynomial equation ring. New radicals based on these notions are introduced, one of which is a special radical with a polynomially extensible semisimple class. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.2989/16073606.2019.1654552 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9663 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Taylor & Francis | pt_PT |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.subject | Amitsur rings | pt_PT |
| dc.subject | Hereditary Amitsur rings | pt_PT |
| dc.subject | Radicals | pt_PT |
| dc.subject | Radicals with the Amitsur property | pt_PT |
| dc.title | On polynomial equation rings and radicals | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2019/PT | |
| oaire.citation.endPage | 10 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Quaestiones Mathematicae | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Mendes | |
| person.givenName | Deolinda | |
| person.identifier.ciencia-id | 541E-74AD-C8E2 | |
| person.identifier.orcid | 0000-0002-4920-4915 | |
| person.identifier.scopus-author-id | 7006417569 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Copyright cedido à editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 7e2ce8bb-9c70-4d0e-b5dd-540dfbf657d1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7e2ce8bb-9c70-4d0e-b5dd-540dfbf657d1 | |
| relation.isProjectOfPublication | 0172bb95-0a5d-4253-a9a5-4456f99a1620 | |
| relation.isProjectOfPublication.latestForDiscovery | 0172bb95-0a5d-4253-a9a5-4456f99a1620 |
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