Publication: On weakly 1-absorbing prime ideals
dc.contributor.author | KOÇ, SUAT | |
dc.contributor.authors | Koc, Suat; Tekir, Unsal; Yildiz, Eda | |
dc.date.accessioned | 2022-03-14T09:52:07Z | |
dc.date.available | 2022-03-14T09:52:07Z | |
dc.date.issued | 2021-03-14 | |
dc.description.abstract | This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity 1 not equal 0. A proper ideal P of A is said to be a weakly 1-absorbing prime ideal if for every nonunits x, y, z. A with 0 not equal xyz. P, then xy is an element of P or z is an element of P. In addition to give many properties and characterizations of weakly 1-absorbing prime ideals, we also determine rings in which every proper ideal is weakly 1-absorbing prime. Furthermore, we investigate weakly 1-absorbing prime ideals in C( X), which is the ring of continuous functions of a topological space X. | |
dc.identifier.doi | 10.1007/s11587-020-00550-4 | |
dc.identifier.eissn | 1827-3491 | |
dc.identifier.issn | 0035-5038 | |
dc.identifier.uri | https://hdl.handle.net/11424/243429 | |
dc.identifier.wos | WOS:000628816000001 | |
dc.language.iso | eng | |
dc.publisher | SPRINGER-VERLAG ITALIA SRL | |
dc.relation.ispartof | RICERCHE DI MATEMATICA | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Weakly prime ideal | |
dc.subject | 1-absorbing prime ideal | |
dc.subject | Weakly 2-absorbing ideal | |
dc.subject | Weakly 1-absorbing prime ideal | |
dc.subject | Trivial extension | |
dc.subject | Rings of continuous functions | |
dc.title | On weakly 1-absorbing prime ideals | |
dc.type | article | |
dspace.entity.type | Publication | |
local.avesis.id | 5601dbb3-6cf1-4f36-9888-ae7bfd54de76 | |
local.import.package | SS16 | |
local.indexed.at | WOS | |
local.indexed.at | SCOPUS | |
local.journal.numberofpages | 16 | |
oaire.citation.title | RICERCHE DI MATEMATICA | |
relation.isAuthorOfPublication | 57dc5867-a06e-42d4-b8f0-787ff572cabe | |
relation.isAuthorOfPublication.latestForDiscovery | 57dc5867-a06e-42d4-b8f0-787ff572cabe |
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