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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (74), 2014/

Closure operators in the categories of modules. Part III (Operations in CO and their properties)

Authors: Caşu Alexei

Abstract

This article is a continuation of the works [1] and [2] (Part~I and Part~II) and contains some results on the family CO of all closure operators of a module category R-Mod. The principal operations in CO (meet, join, product, coproduct) are studied and their properties are elucidated. Also the question on the preservation of types of closure operators with respect to these operations is investigated.

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