(PDF) Generating Sets of the Complete Semigroups of Binary

Generating Sets of the Complete Semigroups of Binary Relations Defined by Semilattices of the Class Σ2 (X,4)

Applied Mathematics

doi 10.4236/am.2018.91002

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Date

January 1, 2018

Authors

Bariş Albayrak

Omar Givradze

Guladi Partenadze

Publisher

Scientific Research Publishing, Inc.

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Amanote Research

Generating Sets of the Complete Semigroups of Binary Relations Defined by Semilattices of the Class Σ<sub>2</Sub> (X,4)

Applied Mathematics

doi 10.4236/am.2018.91002

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Regular Elements of the Semigroup &Lt;i>B</I><sub> X &Lt;/Sub> (&Lt;i>D</I>) Defined by Semilattices of the Class &Amp;Sigma;<sub>2</Sub> (&Lt;i>X</I>, 8) and Their Calculation Formulas

Regular Elements of &Lt;i>B<sub>x</Sup></I>(D) Defined by the Class ∑<sub>1</Sub>(X,10)-&Lt;i>I</I>

Photodegradation of Binary Azo Dyes Using Core-Shell Fe<sub>3</Sub>O<sub>4</Sub>/SiO<sub>2</Sub>/TiO<sub>2</Sub> Nanospheres

Luminescent Properties of (SrNa)<sub>2-x &Lt;/Sub>Eu<sub>x</Sub>(MoO<sub>4</Sub>)<sub>3</Sub> Red Phosphors Prepared by Using the Sol-Gel Process

Crystallization of Hydrosodalite Na<sub>6</Sub>[AlSiO<sub>4</Sub>]<sub>6</Sub>(H<sub>2</Sub>O)<sub>8</Sub> And Tetrahydroborate Sodalite Na<sub>8</Sub>[AlSiO<sub>4</Sub>]<sub>6</Sub>(BH<sub>4</Sub>)<sub>2</Sub> Inside the Openings of Wafer-Thin Steel Mes

Nanophosphors With Partially Polymerized SiO<sub>4</sub> Tetrahedra Produced by Evaporation of Ca<sub>2</Sub>Y<sub>8</Sub> (SiO<sub>4</sub>)<sub>6</sub>O<sub>2</sub>: Eu Polycrystals

Ion Exchange of Layer-Structured Titanate Cs<sub>x</Sub>Ti<sub>2</Sub>-&Lt;i><sub>x</Sub></I>/&Lt;sub>2</Sub>Mg<i><sub>x</Sub></I>/&Lt;sub>2</Sub>O<sub>4</Sub> (&Lt;i>x</I> = 0.70) and Applications as Cathode Materials for Both Lithium- And Sodium-Ion Batteries

Preparation and Structural Properties of ZnAl<sub>x</sub>Fe<sub>2-x</sub>O<sub>4</sub> Spinel Oxide

Improvement in Structural and Magnetic Properties of Electrospun Ni<sub>1-X</Sub>Cu<sub>x</Sub>Fe<sub>2</Sub>O<sub>4</Sub> Nanofibers

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Generating Sets of the Complete Semigroups of Binary Relations Defined by Semilattices of the Class Σ&lt;sub&gt;2&lt;/Sub&gt; (X,4)

Applied Mathematics

doi 10.4236/am.2018.91002

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Regular Elements of the Semigroup &Lt;i&gt;B&lt;/I&gt;&lt;sub&gt; X &Lt;/Sub&gt; (&Lt;i&gt;D&lt;/I&gt;) Defined by Semilattices of the Class &Amp;Sigma;&lt;sub&gt;2&lt;/Sub&gt; (&Lt;i&gt;X&lt;/I&gt;, 8) and Their Calculation Formulas

Regular Elements of &Lt;i&gt;B&lt;sub&gt;x&lt;/Sup&gt;&lt;/I&gt;(D) Defined by the Class ∑&lt;sub&gt;1&lt;/Sub&gt;(X,10)-&Lt;i&gt;I&lt;/I&gt;

Photodegradation of Binary Azo Dyes Using Core-Shell Fe&lt;sub&gt;3&lt;/Sub&gt;O&lt;sub&gt;4&lt;/Sub&gt;/SiO&lt;sub&gt;2&lt;/Sub&gt;/TiO&lt;sub&gt;2&lt;/Sub&gt; Nanospheres

Luminescent Properties of (SrNa)&lt;sub&gt;2-x &Lt;/Sub&gt;Eu&lt;sub&gt;x&lt;/Sub&gt;(MoO&lt;sub&gt;4&lt;/Sub&gt;)&lt;sub&gt;3&lt;/Sub&gt; Red Phosphors Prepared by Using the Sol-Gel Process

Nanophosphors With Partially Polymerized SiO&lt;sub&gt;4&lt;/sub&gt; Tetrahedra Produced by Evaporation of Ca&lt;sub&gt;2&lt;/Sub&gt;Y&lt;sub&gt;8&lt;/Sub&gt; (SiO&lt;sub&gt;4&lt;/sub&gt;)&lt;sub&gt;6&lt;/sub&gt;O&lt;sub&gt;2&lt;/sub&gt;: Eu Polycrystals

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Generating Sets of the Complete Semigroups of Binary Relations Defined by Semilattices of the Class Σ<sub>2</Sub> (X,4)

Regular Elements of the Semigroup &Lt;i>B</I><sub> X &Lt;/Sub> (&Lt;i>D</I>) Defined by Semilattices of the Class &Amp;Sigma;<sub>2</Sub> (&Lt;i>X</I>, 8) and Their Calculation Formulas

Regular Elements of &Lt;i>B<sub>x</Sup></I>(D) Defined by the Class ∑<sub>1</Sub>(X,10)-&Lt;i>I</I>

Photodegradation of Binary Azo Dyes Using Core-Shell Fe<sub>3</Sub>O<sub>4</Sub>/SiO<sub>2</Sub>/TiO<sub>2</Sub> Nanospheres

Luminescent Properties of (SrNa)<sub>2-x &Lt;/Sub>Eu<sub>x</Sub>(MoO<sub>4</Sub>)<sub>3</Sub> Red Phosphors Prepared by Using the Sol-Gel Process

Nanophosphors With Partially Polymerized SiO<sub>4</sub> Tetrahedra Produced by Evaporation of Ca<sub>2</Sub>Y<sub>8</Sub> (SiO<sub>4</sub>)<sub>6</sub>O<sub>2</sub>: Eu Polycrystals

Preparation and Structural Properties of ZnAl<sub>x</sub>Fe<sub>2-x</sub>O<sub>4</sub> Spinel Oxide

Improvement in Structural and Magnetic Properties of Electrospun Ni<sub>1-X</Sub>Cu<sub>x</Sub>Fe<sub>2</Sub>O<sub>4</Sub> Nanofibers