Geri Dön

Flat örtüler ve genelleştirilmiş tam halkalar

Flat covers and generalized perfect rings

PDF İndir

  1. Tez No: 244838
  2. Yazar: BERKE KURU
  3. Danışmanlar: PROF. DR. DERYA KESKİN TÜTÜNCÜ
  4. Tez Türü: Yüksek Lisans
  5. Konular: Matematik, Mathematics
  6. Anahtar Kelimeler: Flat module, flat cover, G?perfect ring, max ring, perfect ring
  7. Yıl: 2009
  8. Dil: Türkçe
  9. Üniversite: Hacettepe Üniversitesi
  10. Enstitü: Fen Bilimleri Enstitüsü
  11. Ana Bilim Dalı: Matematik Ana Bilim Dalı
  12. Bilim Dalı: Belirtilmemiş.
  13. Sayfa Sayısı: 56

Özet

Özet yok.

Özet (Çeviri)

This thesis consists of three chapters. The first chapter, contains the preinformationwhich is necessary for the thesis.Let M be a module. A projective cover of M is the epimorphism f : P ¡! Mwhere PR is projective and Ker(f) ¿ P. Let R be a ring. If all right (left) R?modules have projective cover, Bass defined the ring R as right (left) perfect ring.For a module M, if the projective module P in the Bass?s projective cover definitionis replaced by the flat module, then the module P is called a flat cover of M (*). Ifall right (left) R?modules have flat covers, then R is called right (left) generalizedperfect (G-perfect) ring. As an equivalent condition to the Bass?s projective coverdefinition, the projective cover of M is the homomorphism à : P ¡! M such that;(i) P is a projective R?module.(ii) For any homomorphism ' : P0 ¡! M, where P0 is a projective R?module, thereis ¹ : P0 ¡! P such that à ± ¹ = '.(iii) If ¸ : P ¡! P is an endomorphism of P such that à ± ¸ = Ã, then ¸ is anautomorphism.Inspired by this characterization, in 1981 Enochs defined the flat cover by takingthe projective modules P and P0 in the above definition as flat modules. In 2001Bican, El Bashir ve Enochs have been proved that all modules have flat covers in thesense of Enochs. However any module may not have a flat cover in the sense of (*).In the second chapter of the thesis, examples are given both for modules which haveflat covers and do not have flat covers in the sense of (*) and right (left) G-perfectrings are investigated. Also commutative G-perfect rings are considered.In the third chapter of the thesis, some classes of modules which have flat coversinvestigated. The conditions under which the submodules of a module has a flatcover are investigated.

Benzer Tezler

  1. Tez No

    879911

    Makine öğrenmesinde istatistiksel veriler kullanılarak maruziyetin belirlenmesi: Sakarya ölçeğinde bir çalışma

    Determination of exposure using statistical data in machine learning: A case study in Sakarya

    MUHAMMED ALİ HAŞILOĞLU

    Yüksek Lisans

    Türkçe

    Türkçe

    2024

    Deprem MühendisliğiSakarya Üniversitesi

    İnşaat Mühendisliği Ana Bilim Dalı

    PROF. DR. NACİ ÇAĞLAR

  2. Tez No

    424470

    Genelleştirilmiş yarı mükemmel halkalar

    Generali̇zed semi̇perfect ri̇ngs

    SEVİL KARACİF

    Yüksek Lisans

    Türkçe

    Türkçe

    2016

    MatematikSinop Üniversitesi

    Matematik Ana Bilim Dalı

    YRD. DOÇ. DR. YILMAZ MEHMET DEMİRCİ

  3. Tez No

    450586

    Düz güçlü örtüler

    Flat strong covers

    SAMED ÖZKAN

    Yüksek Lisans

    Türkçe

    Türkçe

    2017

    MatematikSinop Üniversitesi

    Matematik Ana Bilim Dalı

    YRD. DOÇ. DR. YILMAZ MEHMET DEMİRCİ

  4. Tez No

    297891

    Rad-supplemented modules and flat covers of quivers

    Rad-tümlenmiş modüller ve kuiverlerin düz örtüleri

    SALAHATTİN ÖZDEMİR

    Doktora

    İngilizce

    İngilizce

    2011

    MatematikDokuz Eylül Üniversitesi

    Matematik Ana Bilim Dalı

    YRD. DOÇ. DR. ENGİN MERMUT

  5. Tez No

    66696

    Büyük açıklıklı yapılarda çatı örtü malzemeleri

    Roof covering materials for wide span buildings

    NİLÜFER ÇATAK

    Yüksek Lisans

    Türkçe

    Türkçe

    1997

    Mimarlıkİstanbul Teknik Üniversitesi

    Mimarlık Ana Bilim Dalı

    DOÇ. DR. BİLGE IŞIK

Geri Dön