Akademik Veri Yönetim Sistemi
GFSNP The 15th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications , Gaziantep, Türkiye, 10 - 14 Temmuz 2025, ss.116-124, (Tam Metin Bildiri)
In this study, we focus on modules satisfying the summand intersection property (SIP) and the property that the intersection of two direct summands is essential in a direct summand, referred to as SIEP modules. We provide a comprehensive overview of the fundamental properties and interrelations of SIP and SIEP modules. Furthermore, we investigate the structural characteristics of direct summands of SIEP modules and explore the corresponding matrix rings. Finally, we prove that if I is a ring with identity 1, m is a positive integer, and R is the ring Matm(I) of all m × m matrices with entries in I, where e11 denotes the matrix in R with (1,1) entry 1 and all other entries 0, then R is a right SIEP ring if and only if the free right I-module Im is an SIEP module.