Cofinitely Supplemented Modular Lattices

Alizade, Rafail; Toksoy, Sultan Eylem

doi:10.1007/s13369-011-0095-z

Cited by 10 publications

(11 citation statements)

References 4 publications

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“…Let b be a Rad-supplement of x∨a in L. Then x∨a∨b = 1 and (x ∨ a)∧b ≤ r (b/0). Since x is a cofinite element of L, we clearly see that x ∨ b is a cofinite element of L. Then by 1 x∨b…”

Section: Cofinitely Radical Supplemented Latticesmentioning

confidence: 95%

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Cofinitely radical supplemented and cofinitely weak radical supplemented lattices

Nebiyev¹,

Ökten²

2020

MMN

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Section: Cofinitely Radical Supplemented Latticesmentioning

confidence: 95%

“…More information about supplemented lattices are in [1,2] and [5]. More results about supplemented modules are in [9] and [10].…”

Section: Celil Nebiyev and Hasan Hüseyinöktenmentioning

confidence: 99%

Cofinitely radical supplemented and cofinitely weak radical supplemented lattices

Nebiyev¹,

Ökten²

2020

MMN

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“…More informations about (amply) supplemented lattices are in [1,2,5,9]. More results about (amply) supplemented modules are in [8,12].…”

Section: Introductionmentioning

confidence: 99%

Essential supplemented lattices

Ökten¹,

Pekin²

2020

MMN

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“…More details about (amply) supplemented lattices are in [1,2,6]. More results about (amply) supplemented modules are in [5,9].…”

Section: Introductionmentioning

confidence: 99%

On supplement elements in lattices

Nebiyev¹

2019

MMN

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In this work, some properties of supplement elements in lattices are investigated. Some relation between lying above and (weak) supplement elements also studied. Some properties of supplement submodules in modules which given in [8] are generalized to lattices. Let a be a supplement of b in a lattice L. If a=0 has at least one maximal .¤ a/ element, then it is possible to define a bijective map between the maximal elements .¤ a/ of a=0 and the maximal elements .¤ 1/ of 1=b. Let a be a supplement element in a lattice L. If L is amply supplemented, then a=0 is also amply supplemented. If L is weakly supplemented, then a=0 is also weakly supplemented.

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Cofinitely Supplemented Modular Lattices

Cited by 10 publications

References 4 publications

Cofinitely radical supplemented and cofinitely weak radical supplemented lattices

Cofinitely radical supplemented and cofinitely weak radical supplemented lattices

Essential supplemented lattices

On supplement elements in lattices

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