On partial inverse operations in the class of preradicals of modules
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2020-10-12 11:38
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JARDAN, Jardan. On partial inverse operations in the class of preradicals of modules. In: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2019, vol. 27, pp. 15-36. ISSN 1224-1784. DOI: https://doi.org/10.2478/auom-2019-0017
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Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volumul 27 / 2019 / ISSN 1224-1784 /ISSNe 1844-0835

On partial inverse operations in the class of preradicals of modules

DOI:https://doi.org/10.2478/auom-2019-0017

Pag. 15-36

Jardan Jardan12
 
1 Technical University of Moldova,
2 Vladimir Andrunachievici Institute of Mathematics and Computer Science
 
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

In the present work two partial operations in the class of preradicals ℙℝ of the category R-Mod of left R-modules are defined and investigated. They are inverse operations for product with respect to meet and coproduct with respect to join. The criteria of existence of such operations are indicated. Main properties of this operation and relations with the lattice operations in ℙℝ are shown. Some particular cases are mentioned.

Cuvinte-cheie
coproduct, join, lattice, meet, module, Preradical, productring