Dergi makalesi Açık Erişim
Buyukasik, Engin; Demir, Ozlem; Diril, Muge
<?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">Demir, Ozlem</subfield> <subfield code="u">Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="a">Diril, Muge</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">49</subfield> <subfield code="n">2</subfield> <subfield code="c">864-876</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">10.1080/00927872.2020.1821207</subfield> <subfield code="2">doi</subfield> </datafield> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">On simple-direct 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:5917</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">2020-01-01</subfield> </datafield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="u">https://aperta.ulakbim.gov.trrecord/5917/files/bib-5206f36b-bf6c-418f-8c4d-7adcd23aa444.txt</subfield> <subfield code="z">md5:cc92f69d9ca7c5a9a69c56ca829f23ea</subfield> <subfield code="s">113</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <controlfield tag="005">20210315061814.0</controlfield> <controlfield tag="001">5917</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">Recently, in a series of papers "simple" versions of direct-injective and direct-projective modules have been investigated. These modules are termed as "simple-direct-injective" and "simple-direct-projective," respectively. In this paper, we give a complete characterization of the aforementioned modules over the ring of integers and over semilocal rings. The ring is semilocal if and only if every right module with zero Jacobson radical is simple-direct-projective. The rings whose simple-direct-injective right modules are simple-direct-projective are fully characterized. These are exactly the left perfect right H-rings. The rings whose simple-direct-projective right modules are simple-direct-injective are right max-rings. For a commutative Noetherian ring, we prove that simple-direct-projective modules are simple-direct-injective if and only if simple-direct-injective modules are simple-direct-projective if and only if the ring is Artinian. Various closure properties and some classes of modules that are simple-direct-injective (resp. projective) are given.</subfield> </datafield> </record>
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