<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

Published Online: Mar 31, 2018

Page range: 111 - 123

Received: Jan 31, 2017

Accepted: May 23, 2017

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

Keywords
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

Published Online: Mar 31, 2018

Page range: 111 - 123

Received: Jan 31, 2017

Accepted: May 23, 2017

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

Keywordspolynomial 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.

Keywords
polynomial ring, annihilating content, EM-ring, generalized morphic ring, PP-ring