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Some Properties of AG*-groupoid

Author Affiliations

  • 1Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PAKISTAN
  • 2 Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PAKISTAN

Res. J. Recent Sci., Volume 2, Issue (4), Pages 91-93, April,2 (2013)

Abstract

We prove some new results for AG*-groupoid such as: (1) an AG*-groupoid is a Bol*-AG*-groupoid, (2) an AG*-groupoid is nuclear square AG*-groupoid, (3) a cancellative AG*-groupoid is transitively commutative AG-groupoid, (4) a T1-AG-3-band is AG*-groupoid, (5) an AG-groupoid with a left cancellative element is a -AG-groupoid, and (6) an AG*-groupoid is left alternative AG-groupoid.

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