Shahrood University of Technology Journal of Algebraic Systems 2345-5128 14 3 2026 06 01 SOME REMARKS ON WEAKLY S-LASKERIAN MODULES 509 529 3830 10.22044/jas.2025.14472.1832 EN Subramanian Visweswaran Department of Mathematics, Saurashtra University, P.O. Box 360005, Rajkot, India. Journal Article 2024 04 29 The rings considered in this paper are commutative with identity and the modules considered are modules over commutative rings and are unitary. We use R to denote a ring, S to denote a multiplicatively closed subset of R, and M to denote a module over R. We say that M is an S-Laskerian (respectively, a strongly S-Laskerian) R-module if M is an S-finite R-module and for any submodule N of M, either (N: M) meets S or there exist t in S and an S-decomposable (respectively, a strongly S-decomposable) submodule K of M such that tN is a submodule of K and K is contained in N. We say that M is a weakly S-Laskerian (respectively, weakly strongly S-Laskerian) R-module if each S-finite proper submodule of M is an S-Laskerian (respectively, a strongly Laskerian ) R-module. In this paper, we discuss some results on basic properties of weaklly S-Laskerian modules and we extend some of the properties of S-Laskerian modules to weakly S-Laskerian modules. https://jas.shahroodut.ac.ir/article_3830_a91e5ba4ea7f239d75e52f0446746a34.pdf