Yazar "Takıl Mutlu, Figen" için listeleme
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Amply (weakly) Goldie-Rad-supplemented modules
Takıl Mutlu, Figen (Inst Applied Mathematics & Mechanics Natl Acad Sciences Ukraine, 2016)Let R be a ring and M be a right R-module. We say a submodule S of M is a (weak) Goldie-Rad-supplement of a submodule N in M, if M = N + S, (N boolean AND S <= Rad(M)) N boolean AND S <= Rad(S) and N beta**S, andM is called ... -
Amply weak semisimple-supplemented modules
Takıl Mutlu, Figen (2013)Let R be a ring and M be a right R-module. In this paper we will study various properties of amply weak semisimple-supplemented module. It is shown that: (1) every projective weakly semisimple-supplemented module is amply ... -
Modules Whose Submodules Are Essentially Embedded in Direct Summands
Takıl Mutlu, Figen; Tercan, Adnan (Taylor & Francis Inc, 2009)A module M is said to satisfy the C-12 condition if every submodule of M is essentially embedded in a direct summand of M. It is known that the C-11 ( and hence also C-1) condition implies the C-12 condition. We show that ... -
On Ads-Modules With the Sip
Takıl Mutlu, Figen (Iranian Mathematical Soc, 2015)The class of ads modules with the SIP (briefly, SA-modules) is studied. Various conditions for a module to be SA-module are given. It is proved that for a quasi-continuous module M, M is a UC-module if and only if M is an ... -
On matrix rings with the SIP and the Ads
Takıl Mutlu, Figen (Scientific Technical Research Council Turkey-Tubitak, 2018)In this paper, matrix rings with the summand intersection property (SIP) and the absolute direct summand (ads) property (briefly, SA) are studied. A ring R has the right SIP if the intersection of two direct summands of R ... -
SA Özelliğine Sahip Serbest Modüller Üzerine
Takıl Mutlu, Figen (2016)Bir ? halkasına, eğer iki dik toplananının arakesiti yine bir dik toplanan ise dik toplananların arakesit özelliğine (SIP) sahiptir denir. Bir ?-? modülüne, eğer her ????? ayrışımı ve ? nın ? içindeki her ? tümleyeni için ... -
When is the Internal Cancellation Property Inherited By Free Modules?
Takıl Mutlu, Figen (Anadolu Üniversitesi, 2011)In this paper we deal with the internal cancellation property for free modules. To this end, we deduce that the internal cancellation property is not Morita invariant. In contrast, it is shown that the direct sum of two ...