Slid product of loops: a generalization

In this paper, following the slid product construction for loops with inverses of Pasotti and Zizioli [J Geom 100(1–2):129–145, 2011], we present the general setting in order to build up a new loop (L, ⊕) starting from loops (K, +) equipped with a well ordering “<=”, (P, +) and (P, +) with the same neutral element. The results established in the aforementioned note are generalized as well. Moreover we investigate the nuclei of L, the normality of subloops isomorphic to (K, +) and (P, +) and discuss some examples.