@article{Offor_2016, title={On A Type <i>A </i>Semigroup of Congruence Classes}, volume={4}, url={https://www.ajouronline.com/index.php/AJAS/article/view/3533}, abstractNote={A congruence, characterized by -relations, is constructed on a regular type semigroup. The resulting set of congruence classes is shown to be a type semigroup. Commutativity of the morphisms between the semigroups, described by their kernels, is established.&lt;div id=&quot;_mcePaste&quot; class=&quot;mcePaste&quot; style=&quot;position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;&quot;&gt;&lt;!--[if gte msEquation 12]&gt;&lt;m:oMathPara&gt;&lt;m:oMath&gt;&lt;m:sSup&gt;&lt;m:sSupPr&gt;&lt;span style=&quot;font-family:&quot;Cambria Math&quot;,&quot;serif&quot;;mso-ascii-font-family:&quot;Cambria Math&quot;; mso-hansi-font-family:&quot;Times New Roman&quot;;mso-bidi-font-family:&quot;Times New Roman&quot;; font-weight:bold;mso-bidi-font-weight:normal;font-style:italic;mso-bidi-font-style: normal&quot; _mce_style=&quot;font-family: &amp;quot;Cambria Math&amp;quot;,&amp;quot;serif&amp;quot;; mso-ascii-font-family: &amp;quot;Cambria Math&amp;quot;; mso-hansi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; font-weight: bold; mso-bidi-font-weight: normal; font-style: italic; mso-bidi-font-style: normal;&quot;&gt;&lt;m:ctrlPr&gt;&lt;/m:ctrlPr&gt;&lt;/span&gt;&lt;/m:sSupPr&gt;&lt;m:e&gt;&lt;b style=&quot;mso-bidi-font-weight: normal&quot; _mce_style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;i style=&quot;mso-bidi-font-style:normal&quot; _mce_style=&quot;mso-bidi-font-style: normal;&quot;&gt;&lt;span style=&quot;font-size:11.0pt; line-height:115%;font-family:&quot;Cambria Math&quot;,&quot;serif&quot;;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:&quot;Times New Roman&quot;; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SA&quot; _mce_style=&quot;font-size: 11.0pt; line-height: 115%; font-family: &amp;quot;Cambria Math&amp;quot;,&amp;quot;serif&amp;quot;; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;&quot;&gt;&lt;m:r&gt;&lt;m:rPr&gt;&lt;m:scr m:val=&quot;roman&quot; /&gt;&lt;m:sty m:val=&quot;bi&quot; /&gt;&lt;/m:rPr&gt;J&lt;/m:r&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/m:e&gt;&lt;m:sup&gt;&lt;b style=&quot;mso-bidi-font-weight:normal&quot; _mce_style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;i style=&quot;mso-bidi-font-style:normal&quot; _mce_style=&quot;mso-bidi-font-style: normal;&quot;&gt;&lt;span style=&quot;font-size:11.0pt;line-height:115%;font-family:&quot;Cambria Math&quot;,&quot;serif&quot;; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; mso-bidi-font-family:&quot;Times New Roman&quot;;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SA&quot; _mce_style=&quot;font-size: 11.0pt; line-height: 115%; font-family: &amp;quot;Cambria Math&amp;quot;,&amp;quot;serif&amp;quot;; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;&quot;&gt;&lt;m:r&gt;&lt;m:rPr&gt;&lt;m:scr m:val=&quot;roman&quot; /&gt;&lt;m:sty m:val=&quot;bi&quot; /&gt;&lt;/m:rPr&gt;*&lt;/m:r&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/m:sup&gt;&lt;/m:sSup&gt;&lt;/m:oMath&gt;&lt;/m:oMathPara&gt;&lt;![endif]--&gt;&lt;!--[if !msEquation]--&gt;&lt;span style=&quot;font-size: 11.0pt; line-height: 115%; font-family: &amp;quot;Calibri&amp;quot;,&amp;quot;sans-serif&amp;quot;; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;&quot;&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shapetype id=&quot;_x0000_t75&quot; coordsize=&quot;21600,21600&quot; o:spt=&quot;75&quot; o:preferrelative=&quot;t&quot; path=&quot;m@4@5l@4@11@9@11@9@5xe&quot; filled=&quot;f&quot; stroked=&quot;f&quot;&gt; &lt;v:stroke joinstyle=&quot;miter&quot; /&gt; &lt;v:formulas&gt; &lt;v:f eqn=&quot;if lineDrawn pixelLineWidth 0&quot; /&gt; &lt;v:f eqn=&quot;sum @0 1 0&quot; /&gt; &lt;v:f eqn=&quot;sum 0 0 @1&quot; /&gt; &lt;v:f eqn=&quot;prod @2 1 2&quot; /&gt; &lt;v:f eqn=&quot;prod @3 21600 pixelWidth&quot; /&gt; &lt;v:f eqn=&quot;prod @3 21600 pixelHeight&quot; /&gt; &lt;v:f eqn=&quot;sum @0 0 1&quot; /&gt; &lt;v:f eqn=&quot;prod @6 1 2&quot; /&gt; &lt;v:f eqn=&quot;prod @7 21600 pixelWidth&quot; /&gt; &lt;v:f eqn=&quot;sum @8 21600 0&quot; /&gt; &lt;v:f eqn=&quot;prod @7 21600 pixelHeight&quot; /&gt; &lt;v:f eqn=&quot;sum @10 21600 0&quot; /&gt; &lt;/v:formulas&gt; &lt;v:path o:extrusionok=&quot;f&quot; gradientshapeok=&quot;t&quot; o:connecttype=&quot;rect&quot; /&gt; &lt;o:lock v:ext=&quot;edit&quot; aspectratio=&quot;t&quot; /&gt; &lt;/v:shapetype&gt;&lt;v:shape id=&quot;_x0000_i1025&quot; type=&quot;#_x0000_t75&quot; style=’width:9pt; height:15pt’&gt; &lt;v:imagedata src=&quot;file:///C:\Users\Binary\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png&quot; o:title=&quot;&quot; chromakey=&quot;white&quot; /&gt; &lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;img src=&quot;file:///C:/Users/Binary/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif&quot; alt=&quot;&quot; width=&quot;12&quot; height=&quot;20&quot; /&gt;&lt;!--[endif]--&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;/div&gt;}, number={2}, journal={Asian Journal of Applied Sciences}, author={Offor, Paschal U.}, year={2016}, month={Apr.} }