<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true. We put necessary and sufficient conditions to ensure the converse using idealization and polynomial rings </p></abstract>

Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true. We put necessary and sufficient conditions to ensure the converse using idealization and polynomial rings

Some Extensions of Generalized Morphic Rings and EM-rings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some Extensions of Generalized Morphic Rings and EM-rings"}

Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and...

Some Extensions of Generalized Morphic Rings and EM-rings

Publié en ligne: 31 mars 2018

Pages: 111 - 123

Reçu: 31 janv. 2017

Accepté: 23 mai 2017

DOI: https://doi.org/10.2478/auom-2018-0007

Mots clés
polynomial ring, annihilating content, EM-ring, generalized morphic ring, PP-ring

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some Extensions of Generalized Morphic Rings and EM-rings

Publié en ligne: 31 mars 2018

Pages: 111 - 123

Reçu: 31 janv. 2017

Accepté: 23 mai 2017

DOI: https://doi.org/10.2478/auom-2018-0007

Mots cléspolynomial ring, annihilating content, EM-ring, generalized morphic ring, PP-ring

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
polynomial ring, annihilating content, EM-ring, generalized morphic ring, PP-ring