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On m-systems in Γ -AG-groupoids
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نویسنده
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shah t. ,rehman i.
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منبع
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proceedings of the pakistan academy of sciences - 2010 - دوره : 47 - شماره : 1 - صفحه:33 -39
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چکیده
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The main objective of this paper is to describe some characteristics of γ -ag-groupoids by means of m -systems,p -systems and i -systems. it is proved that if s is a γ -ag-groupoid with left identity e,then s is fully prime if and only if every γ -ideal is γ -idempotent and the set γ -ideal (s) is totally ordered under inclusion. also we show that a left γ -ideal i of γ -ag-groupoid s with left identity e is quasi-prime if and only if s i is an m -system and a left γ -ideal i of a γ -ag-groupoid s with left identity e is quasi- γ -semiprime if and only if s i is a p -system.
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کلیدواژه
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Γ -AG-groupoid; Γ -ideal; AG-groupoid; I -system; M -system; P -system
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آدرس
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department of mathematics,quaid-i-azam university, Pakistan, department of mathematics,quaid-i-azam university, Pakistan
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Authors
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