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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (69), 2012/

On partial inverse operations in the lattice of submodules

Authors: Caşu Alexei
Keywords: Ring, module, lattice, preradical, (co)product of preradical, left (right) quotient of submodules

Abstract

In the present work two partial operations in the lattice of submodules L(RM) are defined and investigated. They are the inverse operations for ω-product and α-coproduct studied in [6]. This is the continuation of the article [7], in which the similar questions for the operations of α-product and ω-coproduct are investigated.

Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str. Chişinău, MD−2028, Moldova
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