Modules in which semisimple fully invariant submodules are essential in summands

Ramazan YAŞAR

Makale detayları

Modules in which semisimple fully invariant submodules are essential in summands

Yazarlar:

Ramazan YAŞAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2327-2336

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745533

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

One of the useful generalization of extending notion is FIFIFI-extending property. A module is called FIFIFI-extending if every fully invariant submodule is essential in a direct summand. In this paper, we explore Weak FIFIFI-extending concept by considering only semisimple fully invariant submodules rather than all fully invariant submodules. To this end, we call such a module Weak FIFIFI-extending. We obtain that FIFIFI-extending modules are properly contained in this new class of modules. Amongst other structural properties, we also deal with direct sums and direct summands of Weak FIFIFI-extending  modules.

Makale detayları

Modules in which semisimple fully invariant submodules are essential in summands

Yazarlar: Ramazan YAŞAR

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2327-2336

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745533

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Ramazan YAŞAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2327-2336

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745533

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098