Geodesic
Radicals of $l$-rings and special classes of $l$-modules
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 63-65

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A special class of lattice-ordered modules is studied. We show that for any special class of $l$-modules we can define a special class of $l$-rings. The special radical of an $l$-ring $R$ can be represented as the intersection of the $l$-annihilators of $l$-modules over $R$ belonging to the special class. The prime radical of an $l$-ring $R$ can be represented as the intersection of the $l$-annihilators of $l$-prime $l$-modules over $R$. 
@article{VMUMM_2010_4_a10,
     author = {N. E. Shavgulidze},
     title = {Radicals of $l$-rings and special classes of $l$-modules},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {63--65},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a10/}
}
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N. E. Shavgulidze. Radicals of $l$-rings and special classes of $l$-modules. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 63-65. http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a10/