ma ▁Sol is ▁in ▁ 2 0 0 2 ▁and ▁is ▁known ▁from ▁Costa ▁Rica . ▁ ▁References ▁ ▁Category : M oth s ▁described ▁in ▁ 2 0 0 2 ▁Category : Ph yc it inae <0x0A> </s> ▁In ▁mathematics , ▁a ▁Fr ink ▁ideal , ▁introduced ▁by ▁Or rin ▁Fr ink , ▁is ▁a ▁certain ▁kind ▁of ▁subset ▁of ▁a ▁partially ▁ordered ▁set . ▁ ▁Basic ▁definitions ▁ ▁L U ( A ) ▁is ▁the ▁set ▁of ▁all ▁common ▁lower ▁bounds ▁of ▁the ▁set ▁of ▁all ▁common ▁upper ▁bounds ▁of ▁the ▁subset ▁A ▁of ▁a ▁partially ▁ordered ▁set . ▁ ▁A ▁ ▁subset ▁I ▁of ▁a ▁partially ▁ordered ▁set ▁( P ,   ≤ ) ▁is ▁a ▁Fr ink ▁ideal , ▁if ▁the ▁following ▁condition ▁holds : ▁ ▁For ▁every ▁finite ▁subset ▁S ▁of ▁I , ▁we ▁have ▁L U ( S )    I . ▁ ▁A ▁ ▁subset ▁I ▁of ▁a ▁partially ▁ordered ▁set ▁( P ,   ≤ ) ▁is ▁a ▁normal ▁ideal ▁or ▁a ▁cut ▁if ▁L U ( I )    I . ▁ ▁Rem arks ▁Every ▁Fr ink ▁ideal ▁I ▁is ▁a ▁lower ▁set . ▁A ▁subset ▁I ▁of ▁a ▁lattice ▁( P ,   ≤ ) ▁is ▁a ▁ ▁Fr ink ▁ideal ▁if ▁and ▁only ▁if ▁it ▁is ▁a ▁lower ▁set ▁that ▁is ▁closed ▁under ▁finite ▁joins ▁( sup re ma ). ▁ ▁Every ▁normal ▁ideal ▁is ▁a ▁Fr ink ▁ideal . ▁ ▁Rel ated ▁not ions ▁pseudo ide al ▁Do yle ▁pseudo ide