About one special inversion matrix of 3-ary and 4-ary IP-loops
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2020-10-07 12:09
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URSU, Leonid. About one special inversion matrix of 3-ary and 4-ary IP-loops. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 166-169. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

About one special inversion matrix of 3-ary and 4-ary IP-loops

Pag. 166-169

Ursu Leonid
 
Technical University of Moldova
 
 
Disponibil în IBN: 9 octombrie 2017


Rezumat

It is known that an n-IP-quasigroup can have more than one inversion matrix. We prove that one of these matrices for a 3-ary IP-loop and for a 4-ary IP-loop is the matrix of permutations every of which fixes identity of a loop and has order two. It is a good matrix allowing to investigate n-IP-loops in more detail.

Cuvinte-cheie
3-IP-loop, 4-IP-loop, inversion system, inversion matrix