journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1942 Supplement t-extending modules Nayef Mahdi Saleh Department of Mathematics, College of Education, Mustansiryah University, Baghdad, Iraq Al-Majeed Zahra Moaed Abd Department of Chemical Engineering, University of Technology, Baghdad, Iraq Shaker Zainab Raad Department of Registration and Students Affairs, University of Technology, Baghdad, Iraq Dawood Alaa Sabeeh Department of Civil Engineering, University of Technology, Baghdad, Iraq 27 5 1591 1598 26 08 2024

It is known that the topic of extending module has been addressed by many researchers. In this work, we will focus on studying and presenting a new class of modules namely, supplement t-extending which is weaker than t-extending and supplement extending modules, respectively. Throughout this study, many results, examples, properties and characterizations about this concept are given. In addition, many relationships with other related concepts are discussed.

 Extending modules t-extending modules Supplement submodules t-closed submodule access open retracted no