caa a22 4500 445813210 CHVBK 20180317145218.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00022-011-0071-5 doi (NATIONALLICENCE)springer-10.1007/s00022-011-0071-5 Loops with two-sided inverses constructed by a class of regular permutation sets [Elektronische Daten] [Stefano Pasotti, Elena Zizioli] In this paper we present a technique for building a new loop starting from the loops (K,+), $${(P,\widehat{+})}$$ and (P,+) fulfilling suitable conditions, generalizing the construction presented in Zizioli (J Geom 95(1-2):173-186, 2009) where $${K=\mathbb{Z}_2}$$ or $${K=\mathbb{Z}_3}$$ and (P,+) is an abelian group. We investigate the dependence of the properties of the new loop on the corresponding properties of the initial ones (associativity, Bol condition, automorphic inverse property, Moufang condition), and we provide some examples. Springer Basel AG, 2011 Loop with two-sided inverses nationallicence Involutorial difference loop nationallicence Regular permutation set nationallicence Moufang loop nationallicence K -loop nationallicence Pasotti Stefano Dipartimento di Matematica, Universitá degli Studi di Brescia, via Valotti, 9, 25133, Brescia, Italy aut Zizioli Elena Dipartimento di Matematica, Universitá degli Studi di Brescia, via Valotti, 9, 25133, Brescia, Italy aut Journal of Geometry SP Birkhäuser Verlag Basel 100/1-2(2011-04-01), 129-145 0047-2468 100:1-2<129 2011 100 22 https://doi.org/10.1007/s00022-011-0071-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-011-0071-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pasotti Stefano Dipartimento di Matematica, Universitá degli Studi di Brescia, via Valotti, 9, 25133, Brescia, Italy aut NATIONALLICENCE 700 1- Zizioli Elena Dipartimento di Matematica, Universitá degli Studi di Brescia, via Valotti, 9, 25133, Brescia, Italy aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 100/1-2(2011-04-01), 129-145 0047-2468 100:1-2<129 2011 100 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer