Some Extensions of Generalized Morphic Rings and EM-rings

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

Keywords

• polynomial ring
• annihilating content
• em-ring
• generalized morphic ring
• pp-ring
• 13f20
• 13f25
• 13e05