Abstract
We show that for any special class of l-modules, we can define a special class of l-rings. We prove that 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.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 7, pp. 235–243, 2009.
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Shavgulidze, N.E. Radicals and l-modules. J Math Sci 169, 717–723 (2010). https://doi.org/10.1007/s10958-010-0073-0
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DOI: https://doi.org/10.1007/s10958-010-0073-0