On some operations in the lattice of submodules determined by preradicals
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KASHU, A.. On some operations in the lattice of submodules determined by preradicals. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 2(66), pp. 5-16. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(66) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322

On some operations in the lattice of submodules determined by preradicals

Pag. 5-16

Kashu A.
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

In the lattice L(RM) of all submodules of a module RM four operations are defined using the standard preradicals: -product, !-product, -coproduct and !-coproduct. Some properties of these operations, as well as some connections with the lattice operations of L(RM) are indicated. For characteristic submodules these operations were studied in the work [5].

Cuvinte-cheie
Preradical, lattice, submodule,

product (coproduct) of preradicals