Geodesic
Closure operators in the categories of modules. Part~III (Operations in $\mathbb{CO}$ and their properties)
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2014), pp. 90-100

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This article is a continuation of the works [1] and [2] (Part I and Part II) and contains some results on the family $\mathbb{CO}$ of all closure operators of a`module category $R$-Mod. The principal operations in $\mathbb{CO}$ (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. 
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     author = {A. I. Kashu},
     title = {Closure operators in the categories of modules. {Part~III} {(Operations} in $\mathbb{CO}$ and their properties)},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {90--100},
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     number = {1},
     year = {2014},
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}
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A. I. Kashu. Closure operators in the categories of modules. Part~III (Operations in $\mathbb{CO}$ and their properties). Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2014), pp. 90-100. http://geodesic.mathdoc.fr/item/BASM_2014_1_a5/