On tau-discrete modules

Burcu Nişancı Türkmen; Ergül Türkmen

Makale detayları

On tau-discrete modules

Yazarlar:

Burcu Nişancı Türkmen | Ergül Türkmen

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Mühendislik

Dergi:

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.17 Issue 1, pp.37-43

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001314214

pISSN:

2149-4584

Anahtar kelimeler:

Özet:

 An R-module M is said to be quasi τ-discrete if M is τ-lifting and has the property D_2 respectively, has the property D_3, where τ is a preradical in R-mod. It is shown that: 1 direct summands of a quasi τ-discrete module are quasi τ-discrete; 2 a projective module M is τ-discrete iff MτM is semisimple and τM is QSL; 3 if a projective module M is Soc-lifting, then MSocM is Soc-discrete and RadMSocM  is semisimple.

 An R-module M is said to be quasi τ-discrete if M is τ-lifting and has the property D_2 respectively, has the property D_3, where τ is a preradical in R-mod. It is shown that: 1 direct summands of a quasi τ-discrete module are quasi τ-discrete; 2 a projective module M is τ-discrete iff MτM is semisimple and τM is QSL; 3 if a projective module M is Soc-lifting, then MSocM is Soc-discrete and RadMSocM  is semisimple.

 An R-module M is said to be quasi τ-discrete if M is τ-lifting and has the property D_2 respectively, has the property D_3, where τ is a preradical in R-mod. It is shown that: 1 direct summands of a quasi τ-discrete module are quasi τ-discrete; 2 a projective module M is τ-discrete iff MτM is semisimple and τM is QSL; 3 if a projective module M is Soc-lifting, then MSocM is Soc-discrete and RadMSocM  is semisimple.

 An R-module M is said to be quasi τ-discrete if M is τ-lifting and has the property D_2 respectively, has the property D_3, where τ is a preradical in R-mod. It is shown that: 1 direct summands of a quasi τ-discrete module are quasi τ-discrete; 2 a projective module M is τ-discrete iff MτM is semisimple and τM is QSL; 3 if a projective module M is Soc-lifting, then MSocM is Soc-discrete and RadMSocM  is semisimple.

Makale detayları

On tau-discrete modules

Yazarlar:

Burcu Nişancı Türkmen | Ergül Türkmen

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Mühendislik

Dergi:

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.17 Issue 1, pp.37-43

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001314214

pISSN:

2149-4584

preradical

τ-lifting mdule

(quasi) τ-discrete module.preradical

τ-lifting mdule

(quasi) τ-discrete module.

Sayı

Makale detayları

On tau-discrete modules

Yazarlar: Burcu Nişancı Türkmen | Ergül Türkmen

Yayıncı: Erzincan Binali Yildirim University

Ana Başlıklar: Mühendislik

Dergi: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.17 Issue 1, pp.37-43

Belge Tipi: Makale

Yayın Tarihi: 3/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001314214

pISSN: 2149-4584

preradical

τ-lifting mdule

(quasi) τ-discrete module.preradical

τ-lifting mdule

(quasi) τ-discrete module.

Sayı

Yazarlar:

Burcu Nişancı Türkmen | Ergül Türkmen

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Mühendislik

Dergi:

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.17 Issue 1, pp.37-43

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001314214

pISSN:

2149-4584