Vougiouklis, Thomas Convolutions on WASS hyperstructures. (English) Zbl 0889.20046 Discrete Math. 174, No. 1-3, 347-355 (1997). Several convolutions in hypergroups or in more general hyperstructures are defined. If \(G\) is a finite weakly associative hypergroupoid and \(K\) is a field, a convolution \(*\), as hyperproduct, is defined on the algebra \(K[G]\). Properties of this hyperproduct are studied and examples on special classes of hyperstructures are investigated. Reviewer: M.Guţan (Aubière) Cited in 16 Documents MSC: 20N20 Hypergroups 16Y99 Generalizations 16S34 Group rings Keywords:convolutions; hypergroups; finite weakly associative hypergroupoids; hyperproducts; hyperstructures PDFBibTeX XMLCite \textit{T. Vougiouklis}, Discrete Math. 174, No. 1--3, 347--355 (1997; Zbl 0889.20046) Full Text: DOI References: [1] Corsini, P., Prolegomena of Hypergroup Theory (1993), Aviani Editore · Zbl 0785.20032 [2] Vougiouklis, Th., Representations of hypergroups, Hypergroup algebra, (Convegno: Ipergruppi, str. mult. appl. Udine (1985)), 59-73 [3] Vougiouklis, Th., The fundamental relation in hyperrings, The general hyperfield, (Proc. 4th Internat. Congr. AHA. Proc. 4th Internat. Congr. AHA, Xanthi 1990 (1991), World Scientific: World Scientific Singapore), 209-217 [4] Th. Vougiouklis, The very thin hypergroups and the \(S\); Th. Vougiouklis, The very thin hypergroups and the \(S\) · Zbl 0945.20524 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.