Geodesic
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

Voir la notice de l'article

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 
@article{CMJ_2008_58_3_a17,
     author = {Jakub{\'\i}k, J\'an},
     title = {On some types of radical classes},
     journal = {Czechoslovak Mathematical Journal},
     pages = {833--848},
     year = {2008},
     volume = {58},
     number = {3},
     mrnumber = {2455941},
     zbl = {1174.06322},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a17/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - On some types of radical classes
JO  - Czechoslovak Mathematical Journal
PY  - 2008
SP  - 833
EP  - 848
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a17/
LA  - en
ID  - CMJ_2008_58_3_a17
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T On some types of radical classes
%J Czechoslovak Mathematical Journal
%D 2008
%P 833-848
%V 58
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a17/
%G en
%F CMJ_2008_58_3_a17
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/