On quasi-cancellative AG-groupoids
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IQBAL, Muhammad, AHMAD, Imtiaz. On quasi-cancellative AG-groupoids. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 2(46), pp. 209-212. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 29, Numărul 2(46) / 2021 / ISSN 1561-2848

On quasi-cancellative AG-groupoids


Pag. 209-212

Iqbal Muhammad, Ahmad Imtiaz
 
University of Malakand
 
 
Disponibil în IBN: 30 octombrie 2022


Rezumat

We proved the analog of the Burmistrovich’s theorem for semigroups: a cyclicassociative AG-groupoid is quasi-cancellative if and only if it is a semilattice of cancellative cyclic-associative AG-subgroupoids. We also proved that an AG-groupoid in which all elements are 3-potent is quasi-cancellative.