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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, Number 1, Pages 90–100
(Mi basm352)
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This article is cited in 4 scientific papers (total in 4 papers)
Research articles
Closure operators in the categories of modules. Part III (Operations in $\mathbb{CO}$ and their properties)
A. I. Kashu
Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, 5 Academiei str., Chişinău, MD-2028 Moldova
Abstract:
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.
Keywords and phrases:
closure operator, module, product (coproduct) of closure operators, distributivity of operations, weakly hereditary (idempotent) closure operator.
Received: 12.11.2013
Citation:
A. I. Kashu, “Closure operators in the categories of modules. Part III (Operations in $\mathbb{CO}$ and their properties)”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2014, no. 1, 90–100
Linking options:
https://www.mathnet.ru/eng/basm352 https://www.mathnet.ru/eng/basm/y2014/i1/p90
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