journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2349 J-projective modules and related concepts Alhesnawi Fatima H. Department of Mathematics, College of Education for Pure Sciences, Babylon University, Babylon, Iraq Alhossaini Asaad M. A. Department of Mathematics, College of Education for Pure Sciences, Babylon University, Babylon, Iraq 29 3 1381 1386 09 03 2026

The notion of J-projective modules is presented in this study, (a new type of projectivity relative to the Jacobson radical of the module). Some of the basic properties of this concept are given. In addition, other related concepts like, J-splits, J-direct summand and relationship between them are discussed. 

 Projective Split J-projective J-split J-direct summand access open retracted no