On ordered n-groups
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USAN, Janez, ZIZOVIC, Malisa. On ordered n-groups. In: Quasigroups and Related Systems, 1997, nr. 1(4), pp. 77-87. ISSN 1561-2848.
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Quasigroups and Related Systems
Numărul 1(4) / 1997 / ISSN 1561-2848

On ordered n-groups

Pag. 77-87

Usan Janez1, Zizovic Malisa2
 
1 Institute of Mathematics of Novi Sad,
2 University of Kragujevac
 
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Disponibil în IBN: 11 mai 2016


Rezumat

Among the results of the paper is the following proposition. Let (Q; f¢; '; bg) be an arbitrary nHG¡algebra associated to the n-group (Q;A), where n ¸ 3. If · is a partial order de_ned on Q, then, (Q; A;·) is an ordered n¡group i_ (Q; ¢;·) is an ordered group and for every x; y 2 Q the following implication holds x · y =) '(x) · '(y):