Geodesic
Congruences and ideals in lattice effect algebras as basic algebras
Kybernetika, Tome 45 (2009) no. 6, pp. 1030-1039.

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Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.
Classification : 03G12, 06C15, 08A55, 81P10
Keywords: basic algebra; effect algebra; ideal; congruence 
@article{KYB_2009__45_6_a10,
     author = {Pulmannov\'a, Silvia and Vincekov\'a, Elena},
     title = {Congruences and ideals in lattice effect algebras as basic algebras},
     journal = {Kybernetika},
     pages = {1030--1039},
     publisher = {mathdoc},
     volume = {45},
     number = {6},
     year = {2009},
     mrnumber = {2650081},
     zbl = {1200.62055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/}
}
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Pulmannová, Silvia; Vinceková, Elena. Congruences and ideals in lattice effect algebras as basic algebras. Kybernetika, Tome 45 (2009) no. 6, pp. 1030-1039. http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/