Yazar "Turkmen, Ergul" için listeleme
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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 ... -
Modules which have a rad-supplement that is a direct summand in every extension
Turkmen, Burcu Nisanci; Turkmen, Ergul (LUHANSK TARAS SHEVCHENKO NATL UNIV, 2018)In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Had-supplementing if and only ... -
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 rings with one middle class of injectivity domains
Alizade, Rafail; Demirci, Yilmaz Mehmet; Turkmen, Burcu Nisanci; Turkmen, Ergul (Univ Osijek, Dept Mathematics, 2022)A module M is said to be modest if the injectivity domain of M is the class of all crumbling modules. In this paper, we investigate the basic properties of modest modules. We provide characterizations of some classes of ... -
On some new operations in soft module theory
Turkmen, Ergul; Pancar, Ali (SPRINGER, 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. -
RAD-circle plus-SUPPLEMENTED MODULES
Turkmen, Ergul (OVIDIUS UNIV PRESS, 2013)In this paper we provide various properties of Rad-circle plus-supplemented modules. In particular, we prove that a projective module M is Rad-circle plus-supplemented if and only if M is circle plus-supplemented, and then ... -
Soft Intersection Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory I
Sezer, Aslihan Sezgin; Cagman, Naim; Atagun, Akin Osman; Ali, Muhammed Irfan; Turkmen, Ergul (UNIV NIS, FAC SCI MATH, 2015)In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, ... -
Spectrum of Zariski Topology in Multiplication Krasner Hypermodules
Turkmen, Ergul; Turkmen, Burcu Nisanci; Kulak, Oznur (Mdpi, 2023)In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings. In particular, we examine the spectrum of the Zariski topology, ... -
WSA-Supplements and Proper Classes
Demirci, Yilmaz Mehmet; Turkmen, Ergul (Mdpi, 2022)In this paper, we introduce the concept of wsa-supplements and investigate the objects of the class of short exact sequences determined by wsa-supplement submodules, where a submodule U of a module M is called a wsa-supplement ...
