@article{article_503751, title={Her $\delta-$ Eşatomik Genişlemede $\delta-$ Tümleyene Sahip Modüller}, journal={Sinop Üniversitesi Fen Bilimleri Dergisi}, volume={4}, pages={47–53}, year={2019}, DOI={10.33484/sinopfbd.503751}, author={Eryılmaz, Figen}, keywords={$\delta-$ eşatomik genişleme,$\delta-$-E*-modül,$\delta-$-EE*-modül,$\delta-$-mükemmel halka}, abstract={<p class="MsoNormal" style="margin-bottom:.0001pt;text-align:justify;line-height:normal;"> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">Bu çalışmada,
Zöschinger’ in </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> ve </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span>  </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">özelliklerinden uyarlanan </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> ve </span> <a> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> </a> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> özelliklerine sahip modüller çalışılmıştır.
Eğer </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> her </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">  </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">eşatomik
genişlemesinde (yani </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">  </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">eşatomik) bir </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">tümleyene (sırasıyla
bol </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">tümleyene) sahip ise </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> modülüne </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül (sırasıyla </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül) denir. </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modülün her direkt
toplam teriminin </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül olduğu ve </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modülün her alt
modülünün de </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül olduğu
ispatlanmıştır. Eğer </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;"> sol </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">mükemmel halka ise,
her sol </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modülün </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül olduğu gösterilmiştir.
Ayrıca sol kalıtsal halka üzerindeki </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">eşatomik, </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modülün bölüm
modülünün de </span> <span style="font-family:’Times New Roman’, serif;"> <span> </span> </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;color:#212121;">modül olduğu
ispatlanmıştır </span> <span style="font-size:10pt;font-family:’Times New Roman’, serif;">. </span> </p> <p> </p>}, number={1}, publisher={Sinop Üniversitesi}