Yazar "Turkmen, Ergul" için listeleme
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CHARACTERIZATIONS OFRad-SUPPLEMENTED MODULES
Turkmen, Ergul; Pancar, Ali (Univ Miskolc Inst Math, 2012)We prove that a commutative ring R is an artinian principal ideal ring if and only if the ring is semilocal and every Rad-supplemented R-module is a direct sum of w-local R-modules. Moreover, we study of extensions of ... -
Generalizations of Rad-Supplemented Modules
Kaynar, Engin; Turkmen, Ergul; Aydin, Yildiz (Publications L Institut Mathematique Matematicki, 2018)Let R be an associative ring with identity. We introduce the notion of semi-tau-supplemented modules, which is adapted from srs-modules, for a preradical tau on R-Mod. We provide basic properties of these modules. In ... -
Modules that have a supplement in every cofinite extension
Calisici, Hamza; Turkmen, Ergul (Heldermann Verlag, 2012)Let R be a ring and M a left R-module. An R-module N is called a cofinite extension of M in case M subset of N and N/M is finitely generated. We say that M has the property (CE) (resp. (CEE)) if M has a supplement (resp. ... -
Modules That Have A Weak Supplement in Every Extension
Onal, Emine; Calisici, Hamza; Turkmen, Ergul (Univ Miskolc Inst Math, 2016)We say that over an arbitrary ring a module M has the property. (WE) (respectively, (WEE)) if M has a weak supplement (respectively, ample weak supplements) in every extension. In this paper, we provide various properties ... -
On A New Variation of Injective Modules
Pancar, Ali; Turkmen, Burcu Nisanci; Nebiyev, Celil; Turkmen, Ergul (Ankara Univ, Fac Sci, 2019)In this paper, we provide various properties of GE and GEE-modules, a new variation of injective modules. We call M a GE-module if it has a g-supplement in every extension N and, we call also M a GEE-module if it has ample ... -
On some new operations in soft module theory
Turkmen, Ergul; Pancar, Ali (Springer London Ltd, 2013)In this paper, we introduce the notions of sum and direct sum of soft submodules, small soft submodules and radical of a soft module. Moreover, we obtain basic properties of such soft submodules.