Toksoy, Sultan Eylem

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https://hdl.handle.net/11147/16562
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Main Affiliation
04.02. Department of Mathematics
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Current Staff
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Scholarly Output

5

Articles

4

Views / Downloads

3780/1483

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

32

Scopus Citation Count

25

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0

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0

WoS Citations per Publication

6.40

Scopus Citations per Publication

5.00

Open Access Source

4

Supervised Theses

0

JournalCount
Arabian Journal for Science and Engineering1
Contemporary Mathematics1
Hacettepe Journal of Mathematics and Statistics1
Indian Journal of Pure and Applied Mathematics1
International Journal of Mathematics and Mathematical Sciences1
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2009 - 200912010 - 20144

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Author of Publication: search.filters.isAuthorOfPublication.4a2f374a-6da4-46ac-b614-d48ff8bae9d8

Scholarly Output Search Results

Now showing 1 - 5 of 5
  • Article
    Noetherian and Artinian Lattices
    (Hindawi Publishing Corporation, 2012) Keskin Tütüncü, Derya; Toksoy, Sultan Eylem; Tütüncü, Derya Keskin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    It is proved that if L is a complete modular lattice which is compactly generated, then Rad(L)/0 is Artinian if, and only if for every small element a of L, the sublattice a/0 is Artinian if, and only if L satisfies DCC on small elements.
  • Conference Object
    Citation - WoS: 7
    On dual baer modules
    (American Mathematical Society, 2014) Tütüncü, Derya Keskin; Tütüncü, Derya Keskin; Smith, Patrick F.; Toksoy, Sultan Eylem; Toksoy, Sultan Eylem; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In this note we prove that any ring R is right cosemihereditary if and only if every finitely cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a dual Baer module with the (D-2) condition, then S = End(R)(M) is a right self-injective ring. We also prove that if M = M-1 circle plus M-2 with M-2 semisimple, then M is dual Baer if and only if M-1 is dual Baer and every simple non-direct summand of M-1 does not embed in M-2.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 14
    Cofinitely Weak Supplemented Lattices
    (Indian National Science Academy, 2009) Alizade, Rafail; Toksoy, Sultan Eylem; Toksoy, Sultan Eylem; Alizade, Rafail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In this paper it is shown that an E-complemented complete modular lattice L with small radical is weakly supplemented if and only if it is semilocal. L is a cofinitely weak supplemented lattice if and only if every maximal element of L has a weak supplement in L. If )α/0 is a cofinitely weak supplemented (weakly supplemented) sublattice and 1/α has no maximal element (1/α is weakly supplemented and a has a weak supplement in L), then L is cofinitely weak supplemented (weakly supplemented).
  • Article
    Absolute Co-Supplement and Absolute Co-Coclosed Modules
    (Hacettepe Üniversitesi, 2013) Tütüncü, Derya Keskin; Toksoy, Sultan Eylem; Tütüncü, Derya Keskin; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    A module M is called an absolute co-coclosed (absolute co-supplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute co-coclosed (absolute co-supplement) are precisely determined. We also investigate the rings whose (finitely generated) absolute co-supplement modules are projective. We show that a commutative domain R is a Dedekind domain if and only if every submodule of an absolute co-supplement R-module is absolute co-supplement. We also prove that the class Coclosed of all short exact sequences 0→A→B→C→0 such that A is a coclosed submodule of B is a proper class and every extension of an absolute co-coclosed module by an absolute co-coclosed module is absolute co-coclosed.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 11
    Cofinitely Supplemented Modular Lattices
    (Springer Verlag, 2011) Alizade, Rafail; Alizade, Rafail; Toksoy, Sultan Eylem; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In this paper it is shown that a lattice L is a cofinitely supplemented lattice if and only if every maximal element of L has a supplement in L. If a/0 is a cofinitely supplemented sublattice and 1/a has no maximal element, then L is cofinitely supplemented. A lattice L is amply cofinitely supplemented if and only if every maximal element of L has ample supplements in L if and only if for every cofinite element a and an element b of L with a v b there exists an element c of b/0 such that a v c where c is the join of finite number of local elements of b/0. In particular, a compact lattice L is amply supplemented if and only if every maximal element of L has ample supplements in L.