شماره ركورد كنفرانس :
3934
عنوان مقاله :
Modules for which every t-coclosed submodule has a supplement
which is a summand
پديدآورندگان :
Talebi Yahya talebi@umz.ac.ir University of Mazandaran; , Moniri Hamzekolaee Ali Reza a.monirih@umz.ac.ir University of Mazandaran; , Hosseinpour Mehrab m.hpour@umz.ac.ir University of Mazandaran; , Asgari Samira samira.asgari.a@gmail.com Islamic Azad University Mobarakeh Branch;
كليدواژه :
t , small submodule , t , coclosed submodule , amply supplemented module , t D11 , module.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
Let R be a ring and M an R-module. In this paper the notion of a t-small submoduleis used frequently.
A submodule N of M is t-small in M (denoted by N t M), if N + K Z2(M) implies K Z2(M).
Also N is called t-coclosed in M, in case N=K t M=K, for a submodule K contained in N, implies
that N = K. We say that M is t D11 if every t-coclosed submodule of M has a supplement which
is a direct summand of M. For an amply supplemented module M, we prove that M is t D11 if and
only if M = Z2(M) L where Z2(M) and L are both t D11. Some relations of t D11-modules with
the other types of modules investigated. Examples are presented to separate di erent concepts.
