Closure operators in the categories of modules. Part III (Operations in CO and their properties)
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517.98:517.51 (1)
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (241)
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KASHU, A.. Closure operators in the categories of modules. Part III (Operations in CO and their properties). In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 1(74), pp. 90-100. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(74) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322

Closure operators in the categories of modules. Part III (Operations in CO and their properties)
CZU: 517.98:517.51

Pag. 90-100

Kashu A.
 
Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 18 iunie 2014


Rezumat

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.

Cuvinte-cheie
Closure operator, module,

product (coproduct) of closure operators, distributivity of operations