TY - JOUR AU - Yiarayong, Pairote AU - Panpho, Phakakorn PY - 2015/04/17 Y2 - 2024/03/29 TI - Some Basic Properties of Γ-left-right derivation in Γ-CI-Algebras JF - Asian Journal of Applied Sciences JA - AJAS VL - 3 IS - 2 SE - Articles DO - UR - https://ajouronline.com/index.php/AJAS/article/view/2276 SP - AB - <span style="font-family: Times New Roman; font-size: small;"> </span><span style="font-size: small;"><span style="font-family: Times New Roman;"><span style="mso-fareast-font-family: Calibri;">The purpose of this paper is to introduce the notion of a</span> <span>Γ</span></span></span><span style="font-size: small;"><span style="font-family: Times New Roman;">-CI-algebras<span style="mso-fareast-font-family: Calibri;">, we study <span>Γ</span></span><span style="mso-fareast-language: KO;">-</span>filter<span style="mso-fareast-font-family: Calibri;">s, <span>Γ</span></span><span style="mso-fareast-language: KO;">-</span>self-distributives, <span style="mso-fareast-language: KO;"><span>Γ</span>-</span>transitives, <span style="mso-fareast-font-family: Calibri;">upper sets </span><span style="mso-fareast-language: KO;">and <span>Γ</span>-left-right f-derivations </span><span style="mso-fareast-font-family: Calibri;">in <span>Γ</span></span>-CI-algebras<span style="mso-fareast-font-family: Calibri;">. Some characterizations of <span>Γ</span></span><span style="mso-fareast-language: KO;">-</span>filter<span style="mso-fareast-font-family: Calibri;">s, upper sets and <span>Γ</span></span><span style="mso-fareast-language: KO;">-left-right f-derivations</span><span style="mso-fareast-font-family: Calibri;"> are obtained. Moreover, we investigate relationships between <span>Γ</span></span><span style="mso-fareast-language: KO;">-</span>filter<span style="mso-fareast-font-family: Calibri;">s, <span>Γ</span></span><span style="mso-fareast-language: KO;">-</span>self-distributives and <span>Γ</span><span style="mso-fareast-language: KO;">-</span>transitives<span style="mso-fareast-font-family: Calibri;"> in <span>Γ</span></span>-CI-algebras<span style="mso-fareast-font-family: Calibri;">. </span></span></span><span style="font-family: Times New Roman; font-size: small;"> </span><p class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="font-family: Times New Roman; font-size: small;"> </span></p><span style="font-family: Times New Roman; font-size: small;"> </span><p class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="font-family: Times New Roman; font-size: small;"> </span></p><span style="font-family: Times New Roman; font-size: small;"> </span> ER -