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On some types of radical classes
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 833-848 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak m$-representable Boolean algebras. Further, let $C_\frak m^0$ be the collection of all generalized Boolean algebras $B$ such that for each $b\in B$, the interval $[0,b]$ of $B$ belongs to $C_\frak m$. In this paper we prove that $C_\frak m^0$ is a radical class of generalized Boolean algebras. Further, we investigate some related questions concerning lattice ordered groups and generalized $MV$-algebras.
Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak m$-representable Boolean algebras. Further, let $C_\frak m^0$ be the collection of all generalized Boolean algebras $B$ such that for each $b\in B$, the interval $[0,b]$ of $B$ belongs to $C_\frak m$. In this paper we prove that $C_\frak m^0$ is a radical class of generalized Boolean algebras. Further, we investigate some related questions concerning lattice ordered groups and generalized $MV$-algebras.
Classification : 06D35, 06E05, 06F20
Keywords: Boolean algebra; generalized Boolean algebra; $\frak m$-representability; lattice ordered group; generalized $MV$-algebra; radical class 
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Jakubík, Ján. On some types of radical classes. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 833-848. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a17/

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