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.
Language: English
Page range: 15 - 36
Submitted on: Jul 6, 2018
Accepted on: Sep 5, 2018
Published on: Sep 26, 2019
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2019 Ion Jardan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.