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

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摘要 In this paper we take subsemilattice of X-semilattice of unions D which satisfies the following conditions: We will investigate the properties of regular elements of the complete semigroup of binary relations Bx(D) satisfying V(D,а)=Q. For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of regular elements and right units of the respective semigroup. In this paper we take subsemilattice of X-semilattice of unions D which satisfies the following conditions: We will investigate the properties of regular elements of the complete semigroup of binary relations Bx(D) satisfying V(D,а)=Q. For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of regular elements and right units of the respective semigroup.

作者 Giuli Tavdgiridze Yasha Diasamidze

机构地区 Department of Mathematics

出处《Applied Mathematics》 2015年第2期373-381,共9页 应用数学（英文）

关键词 SEMILATTICE SEMIGROUP Regular Element RIGHT Unit Binary Relation Semilattice Semigroup Regular Element Right Unit Binary Relation

分类号 O1 [理学—数学]

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Applied Mathematics

2015年第2期

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

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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)

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Regular Elements and Right Units of Semigroup <i>B<sub>x</sub></i>(<i>D</i>) Defined Semilattice <i>D</i>for Which <i>V</i>(<i>D</i>,а)=Q ∈ ∑<sub>3</sub>(<i>X</i>,8)