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Radicals of l-Rings and Special Classes of l-Modules / Shavgulidze N.E. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 4. P. 63-65 [Moscow Univ. Math. Bulletin. Vol. 65, No 4, 2010. P. 176-177]. 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.
Key words: lattice-ordered ring, lattice-ordered module, special class of
l-modules, special radical of an l-ring, prime radical of an l-ring.
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