Let SP be the set of upper strongly porous at 0 subsets of R+ and let I^(SP) be the intersection of maximal ideals I⊆SP. Some characteristic properties of sets E∈I^(SP) are obtained. It
is shown that the ideal generated by the so-called completely strongly porous
at 0 subsets of R+ is a proper subideal of I^(SP).Comment: 18 page