Journal of Siberian Federal University. Mathematics & Physics: Measures on Smashed Products of Quasigroups and their Algebras

Journal of Siberian Federal University. Mathematics & Physics / Measures on Smashed Products of Quasigroups and their Algebras

Issue: Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors: Ludkowski, Sergey V.
Contact information: Ludkowski, Sergey V. : Russian Technological University Moscow, Russian Federation;
Keywords: quasigroup; measure; algebra; convolution; topology; invariance
Abstract: We study quasiinvariant measures on smashed and twisted wreath products of quasigroups. The quasiinvariance of measures is investigated relative to isotopies. Specific features are found for quasigroups in comparison with groups. Spaces of measures are scrutinized. Convolution algebras appear to be in general nonassociative because of the nonassociativity of the quasigroup. Ideals of topological convolution algebras are studied
Pages: 420–429
EDN: ZMWLUA
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/155083