id: 02154083 dt: j an: 02154083 au: Alaev, P.E. ti: Hyperarithmetical Boolean algebras with a distinguished ideal. so: Sib. Mat. Zh. 45, No. 5, 963-976 (2004); translation in Sib. Math. J. 45, No. 5, 795-805 (2004). py: 2004 pu: Sibirskoe Otdelenie Rossijskoj Akademii Nauk, Institut Matematiki Im. S. L. Soboleva SO RAN, Novosibirsk; Izdatel’stvo Instituta Matematiki, Novosibirsk la: RU; EN cc: ut: computable Boolean algebra with a distinguished ideal; hyperarithmetical Boolean algebra ci: li: emis:journals/SMZ/2004/05/content5.htm ab: The author proves a metatheorem on a transition from a hyperarithmetical Boolean algebra with a distinguished ideal to a computable algebra (which is too complicated to formulate it here). As an application, the author gives characterizations of $Δ_i$-computable Boolean algebras with a distinguished ideal for $i=2,4,5$. rv: A. S. Morozov (Novosibirsk)