42 citations · 107 across the 22 of their papers we have counts for
Showing math.RAShow all
2 papers · 1 filter
math.RA2012
Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)
Anatole Khelif, Dimitris Scarpalezos, Hans Vernaeve
We study the asymptotics at zero of continuous functions on (0, 1] by means of their asymptotic ideals, i.e., ideals in the ring of continuous functions on (0, 1] satisfying a poly…
math.RA2007★ 2 cited
Ideals in the ring of Colombeau generalized numbers
Hans Vernaeve
In this paper, the structure of the ideals in the ring of Colombeau generalized numbers is investigated. Connections with the theories of exchange rings, Gelfand rings and lattice-…