<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T04:50:23Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/11367" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/11367</identifier><datestamp>2026-10-18T20:26:25Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>A NOTE ON WEAKLY N-SUBMODULES</dc:title><dc:creator>Üregen, R.N.</dc:creator><dc:creator>Koç, S.</dc:creator><dc:subject>n-ideal</dc:subject><dc:subject>n-submodule</dc:subject><dc:subject>r-submodule</dc:subject><dc:subject>weakly n-ideal</dc:subject><dc:subject>weakly n-submodule</dc:subject><dc:description>Let M be a nonzero unital module over a commutative ring R with a nonzero identity. A proper submodule N of M is said to be a weakly n-submodule if whenever 0 ≠ am ∈ N for some a ∈ R and m ∈ M, then a ∈√ann(M) or m ∈ N. We examine the relations between weakly n-submodules and classical submodules such as prime, weakly prime, weakly primary and r-submodules. Also, we characterize modules over which every nonzero submodule is secondary by using weakly n-submodules. © Palestine Polytechnic University-PPU 2025.</dc:description><dc:publisher>Palestine Polytechnic University</dc:publisher><dc:date>2025</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/11367</dc:identifier><dc:identifier>2219-5688</dc:identifier><dc:language>en</dc:language><dc:relation>Palestine Journal of Mathematics</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/11367</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>