Some applications of the independence to the semigroup of all binary systems
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REZAEI, Akbar, KIM, Hee Sik, NEGGERS, Joseph. Some applications of the independence to the semigroup of all binary systems. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 2(46), pp. 269-282. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 29, Numărul 2(46) / 2021 / ISSN 1561-2848

Some applications of the independence to the semigroup of all binary systems


Pag. 269-282

Rezaei Akbar1, Kim Hee Sik2, Neggers Joseph3
 
1 Payame Noor University,
2 Hanyang University, Seoul ,
3 University of Alabama
 
 
Disponibil în IBN: 30 octombrie 2022


Rezumat

We extend the notions of right (left) independency and absorbent from groupoids to Bin(X) as a semigroup of all the groupoids on a set X and study and investigate many of their properties. We show that these new concepts are different by presenting several examples. In general, the concept of right (left) independence is a generalization and alternative of classical concept of the converse of injective function.