On partial inverse operations in the class of preradicals of modules-Reference-Cited by-同舟云学术

On partial inverse operations in the class of preradicals of modules

Published:2019-06-01 Issue:2 Volume:27 Page:15-36
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
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Author:

Jardan Ion¹

Affiliation:

1. Technical University of Moldova , Institute of Mathematics and Computer Science , Republic of Moldova, str. Academiei 5, Chişinău , MD− 2028 Moldova .

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0017

Reference12 articles.

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