(PDF) Regular Elements and Right Units of Semigroup

Regular Elements and Right Units of Semigroup &Lt;i>Bx(D) Defined Semilattice &Lt;i>D For Which &Lt;i>V(D,а)=Q ∈ &Amp;sum;3(X,8)

Applied Mathematics

doi 10.4236/am.2015.62035

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Date

January 1, 2015

Authors

Giuli Tavdgiridze

Yasha Diasamidze

Publisher

Scientific Research Publishing, Inc,

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Regular Elements and Right Units of Semigroup &Lt;i>B<sub>x</Sub></I>(<i>D</I>) Defined Semilattice &Lt;i>D</I> For Which &Lt;i>V</I>(<i>D</I>,а)=Q ∈ &Amp;sum;<sub>3</Sub>(<i>X</I>,8)

Applied Mathematics

doi 10.4236/am.2015.62035

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

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

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Solutions of the Exponential Equation &Lt;i>y</I><sup><i>x/Y</I></Sup> = &Lt;i>x</I> Or Ln<i>x</I>/&Lt;i>x</I> = Ln<i>y</I>/&Lt;i>y</I> And Fine Structure Constant

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Structural and Morphological Study of a Series of Ball Milled Nanocrystalline Fe<sub>1-&Lt;i>x</I></Sub>Al<sub><i>x</I></Sub> (0.3 ≤ &Lt;i>x</I> ≤ 0.6) Alloys

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Regular Elements and Right Units of Semigroup &Lt;i&gt;B&lt;sub&gt;x&lt;/Sub&gt;&lt;/I&gt;(&lt;i&gt;D&lt;/I&gt;) Defined Semilattice &Lt;i&gt;D&lt;/I&gt; For Which &Lt;i&gt;V&lt;/I&gt;(&lt;i&gt;D&lt;/I&gt;,а)=Q ∈ &Amp;sum;&lt;sub&gt;3&lt;/Sub&gt;(&lt;i&gt;X&lt;/I&gt;,8)

Applied Mathematics

doi 10.4236/am.2015.62035

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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;

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

Solutions of the Exponential Equation &Lt;i&gt;y&lt;/I&gt;&lt;sup&gt;&lt;i&gt;x/Y&lt;/I&gt;&lt;/Sup&gt; = &Lt;i&gt;x&lt;/I&gt; Or Ln&lt;i&gt;x&lt;/I&gt;/&Lt;i&gt;x&lt;/I&gt; = Ln&lt;i&gt;y&lt;/I&gt;/&Lt;i&gt;y&lt;/I&gt; And Fine Structure Constant

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Structural and Morphological Study of a Series of Ball Milled Nanocrystalline Fe&lt;sub&gt;1-&Lt;i&gt;x&lt;/I&gt;&lt;/Sub&gt;Al&lt;sub&gt;&lt;i&gt;x&lt;/I&gt;&lt;/Sub&gt; (0.3 ≤ &Lt;i&gt;x&lt;/I&gt; ≤ 0.6) Alloys

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Regular Elements and Right Units of Semigroup &Lt;i>B<sub>x</Sub></I>(<i>D</I>) Defined Semilattice &Lt;i>D</I> For Which &Lt;i>V</I>(<i>D</I>,а)=Q ∈ &Amp;sum;<sub>3</Sub>(<i>X</I>,8)

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

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

Solutions of the Exponential Equation &Lt;i>y</I><sup><i>x/Y</I></Sup> = &Lt;i>x</I> Or Ln<i>x</I>/&Lt;i>x</I> = Ln<i>y</I>/&Lt;i>y</I> And Fine Structure Constant

Bringing Back the Body Into Positive Psychology: The Theory of &Lt;i>Corporeal</I> &Lt;i>Posttraumatic</I> &Lt;i>Growth</I> &Lt;i>in</I> &Lt;i>Breast</I> &Lt;i>Cancer</I> &Lt;i>Survivorship</I>

Structural and Morphological Study of a Series of Ball Milled Nanocrystalline Fe<sub>1-&Lt;i>x</I></Sub>Al<sub><i>x</I></Sub> (0.3 ≤ &Lt;i>x</I> ≤ 0.6) Alloys

Synthesis of Hollow Nanoparticles &Lt;i>γ</I>-Al<sub>2</Sub>O<sub>3</Sub>

&Lt;i>In Vitro</I> Antagonistic Activity of &Lt;i>Trichoderma Harzianum</I> And &Lt;i>Bacillus Amyloliquefaciens</I> Against &Lt;i>Colletotrichum Acutatum</I>