Let R be a ring with identity and let M be a unitary left module over R. In this paper we study the relationship between Essentially Small Quasi-Dedekind modules and small prime (essentially small prime) modules. We show that every small prime module is an essentially small quasi-Dedekind module, but not conversely. This observation leads us to introduce the concept of essentially small prime module, we prove that every essentially small quasi-Dedekind module is essentially small prime module, but not conversely. Also, we give some examples which illustrate these relations.
Volume 11 | 01-Special Issue
Pages: 1848-1854