<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present work two partial operations in the class of preradicals ℙℝ of the category <italic>R</italic>-Mod of left <italic>R</italic>-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.</p></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.

On partial inverse operations in the class of preradicals of modules

Institute of Mathematics and Computer Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On partial inverse operations in the class of preradicals of modules"}

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...

On partial inverse operations in the class of preradicals of modules

Published Online: Sep 26, 2019

Page range: 15 - 36

Received: Jul 06, 2018

Accepted: Sep 05, 2018

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

Keywords
ring, module, lattice, preradical, join, meet, product, coproduct

© 2019 Ion Jardan, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On partial inverse operations in the class of preradicals of modules

Published Online: Sep 26, 2019

Page range: 15 - 36

Received: Jul 06, 2018

Accepted: Sep 05, 2018

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

Keywordsring, module, lattice, preradical, join, meet, product, coproduct

© 2019 Ion Jardan, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
ring, module, lattice, preradical, join, meet, product, coproduct