journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2261 S*K-nonsingular modules Chyad Suhailah Abdalabbas Department of Mathematics, College of Education, University of Al-Qadisiyah, Al-Qadisiyah, 54001, Iraq Ghawi Thaar Younis Department of Mathematics, College of Education, University of Al-Qadisiyah, Al-Qadisiyah, 54001, Iraq 28 2 587 591 11 04 2025

This note proposes and examines the notion of S*k-nonsingular module which is a new type of module theory. The characterization of this property over rings and modules is investigated. Moreover, a few ties between these modules and some further classes are discussed.

 e-small submodule s-essential submodule S*k-nonsingular module access open retracted no