arXiv subjects
Publications and source records attributed to Sergey V. Ludkowski.
In this article smashed products of topological left quasigroups are scrutinized. Quotients of topological fan quasigroups are investigated. Skew smashed products of fan quasigroups and their structure also are studied.
Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces $M_{Λ,p}$ of $L_p$ functions is studied, where $1<p<\infty $. It is proved that up to an isomorphism and a change of variables these spaces are contained in Weil-Nagy's class. Moreover, existence of Schauder bases in the Müntz spaces $M_{Λ,p}$ is investigated.
Cohomologies of nonassociative metagroup algebras are investigated. Extensions of metagroup algebras are studied. Examples are given.