TY - JOUR AU - Yiarayong, Pairote PY - 2015/08/17 Y2 - 2024/03/28 TI - On Quasi-Left Primary and Quasi-Primary Γ-ideals in Γ-AG-Groupoids. JF - Asian Journal of Applied Sciences JA - AJAS VL - 3 IS - 4 SE - Articles DO - UR - https://www.ajouronline.com/index.php/AJAS/article/view/2405 SP - AB - <span style="font-family: Times New Roman; font-size: small;"> </span><p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify; line-height: 150%; text-justify: inter-cluster;"><span style="font-family: Times New Roman;"><strong style="mso-bidi-font-weight: normal;"><span style="line-height: 150%; font-size: 10pt; mso-fareast-font-family: &quot;Arial Unicode MS&quot;;"><em>The purpose of this paper is to introduce the notion of a</em></span></strong><span style="font-size: small;"> </span><em><strong style="mso-bidi-font-weight: normal;"><span style="line-height: 150%; font-size: 10pt; mso-fareast-font-family: &quot;Arial Unicode MS&quot;;"> quasi-primary ideals in <span>Γ</span><span style="top: 2pt; position: relative; mso-text-raise: -2.0pt;"> </span>-AG-groupoids, we study quasi-primary and quasi-left primary <span>Γ</span>-ideals in <span>Γ</span>-AG-groupoids. Some characterizations of quasi-primary and quasi-left primary <span>Γ</span>- ideals are obtained. Moreover, we investigate the relationships between quasi-primary and quasi-left primary <span>Γ</span>ideals in <span>Γ</span><span style="top: 2pt; position: relative; mso-text-raise: -2.0pt;"> </span>-AG-groupoids. Finally, we obtain</span></strong><span style="line-height: 150%; font-size: 10pt; mso-fareast-font-family: &quot;Arial Unicode MS&quot;; mso-ansi-font-weight: bold;" lang="AR-SA"> the</span><strong style="mso-bidi-font-weight: normal;"><span style="line-height: 150%; font-size: 10pt; mso-fareast-font-family: &quot;Arial Unicode MS&quot;;"> necessary and sufficient conditions of a quasi-primary ideal to be a quasi-left primary <span>Γ</span>-ideal in <span>Γ</span>-AG-groupoids.</span></strong></em></span></p><span style="font-family: Times New Roman; font-size: small;"> </span> ER -