½ Cancellation Modules and Homogeneous Idealization II

Abstract

In our recent work we investigated ½ (weak) cancellation modules and ½ join principal submodules and showed via the method of idealization most questions concerning these modules can be reduced to the ideal case. The purpose of this article is to continue our study of these modules as well as we introduce and give some properties of the concept of M-join principal ideals.

Key Words:

• ½ Join principal submodule
• M-Join principal ideal
• M-(Weak) Cancellation ideal
• Multiplication module
• Projective module
• Quasi-cancellation module
• ½ (Weak) Cancellation module

2000 Mathematics Subject Classification:

• 13C13
• 13A15

Notes

Communicated by I. Swanson.