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517.98 (49) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
SM ISO690:2012 KASHU, A.. Closure operators in the categories of modules.
Part IV (Relations between the operators and preradicals). In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 3(76), pp. 13-22. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(76) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.98 | ||||||
Pag. 13-22 | ||||||
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In this work (which is a continuation of [1–3]) the relations between
the class CO of the closure operators of a module category R-Mod and the class PR of preradicals of this category are investigated. The transition from CO to PR and backwards is defined by three mappings : CO → PR and ψ1, ψ2 : CO → PR. The properties of these mappings are studied.Some monotone bijections are obtained between the preradicals of different types (idempotent, radical, hereditary, cohereditary, etc.) of PR and the closure operators of CO with special properties (weakly hereditary, idempotent, hereditary, maximal,minimal, cohereditary, etc.). |
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Cuvinte-cheie Ring, module, Closure operator, Preradical, torsion, Radical filter, idempotent ideal |
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