Dergi makalesi Açık Erişim
Buyukasik, Engin; Durgun, Yilmaz
<?xml version='1.0' encoding='UTF-8'?> <record xmlns="http://www.loc.gov/MARC21/slim"> <leader>00000nam##2200000uu#4500</leader> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Durgun, Yilmaz</subfield> <subfield code="u">Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</subfield> </datafield> <datafield tag="909" ind1="C" ind2="4"> <subfield code="p">COMMUNICATIONS IN ALGEBRA</subfield> <subfield code="v">43</subfield> <subfield code="n">2</subfield> <subfield code="c">384-399</subfield> </datafield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="540" ind1=" " ind2=" "> <subfield code="a">Creative Commons Attribution</subfield> <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield> </datafield> <datafield tag="024" ind1=" " ind2=" "> <subfield code="a">10.1080/00927872.2013.842246</subfield> <subfield code="2">doi</subfield> </datafield> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">ABSOLUTELY s-PURE MODULES AND NEAT-FLAT MODULES</subfield> </datafield> <datafield tag="100" ind1=" " ind2=" "> <subfield code="a">Buyukasik, Engin</subfield> <subfield code="u">Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</subfield> </datafield> <datafield tag="909" ind1="C" ind2="O"> <subfield code="o">oai:zenodo.org:80679</subfield> <subfield code="p">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="650" ind1="1" ind2="7"> <subfield code="2">opendefinition.org</subfield> <subfield code="a">cc-by</subfield> </datafield> <datafield tag="260" ind1=" " ind2=" "> <subfield code="c">2015-01-01</subfield> </datafield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="u">https://aperta.ulakbim.gov.trrecord/80679/files/bib-19d066db-9544-40a0-b884-07a54f7fd7c2.txt</subfield> <subfield code="z">md5:a29a3fd44ae2158f575deaac615db0a4</subfield> <subfield code="s">126</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <controlfield tag="005">20210316053722.0</controlfield> <controlfield tag="001">80679</controlfield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">publication</subfield> <subfield code="b">article</subfield> </datafield> <datafield tag="520" ind1=" " ind2=" "> <subfield code="a">Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R-module is neat-flat. A commutative ring R is hereditary and noetherian if and only if every absolutely s-pure R-module is injective and R is nonsingular. If every simple right R-module is finitely presented, then (1) R-R is absolutely s-pure if and only if R is right Kasch and (2) R is a right Sigma-CS ring if and only if every pure injective neat-flat right R-module is projective if and only if every absolutely s-pure left R-module is injective and R is right perfect. We also study enveloping and covering properties of absolutely s-pure and neat-flat modules. The rings over which every simple module has an injective cover are characterized.</subfield> </datafield> </record>
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