. . . "Pre-ideals of basic algebras" . "Pre-ideals of basic algebras"@en . "RIV/61989592:15310/11:33116125" . . . "Pre-ideals of basic algebras"@en . . "0020-7748" . "50" . . "15310" . . "RIV/61989592:15310/11:33116125!RIV12-MSM-15310___" . "S, Z(MSM6198959214)" . . "10.1007/s10773-011-0928-2" . . "[B575CFE23DB4]" . . "Basic algebra, pre-ideal, ideal"@en . . . "16"^^ . "K\u00FChr, Jan" . "000296923500016" . "222968" . "12" . . "2"^^ . "Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras." . . "International Journal of Theoretical Physics" . "2"^^ . . "Kr\u0148\u00E1vek, Jan" . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras."@en . "Pre-ideals of basic algebras" .