For a finite group G, by the endomorphism ring of a module M over a commutative ring R, we define a structure for M to make it an RG-module so that we study the relations between the properties of R-modules and RG-modules. Mainly, we prove that Rad R M is an RG-submodule of M if M is an RGmodule; also Rad R M ⊆ Rad RG M where Rad A M is the intersection of the maximal A-submodule of module M over a ring A. We also verify that M is an injective (projective) R-module if and only if M is an injective (projective) RG-module.

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In this paper, we find some connections between submodules of a module over a group ring RG and subgroups of a group G. Also, we prove that there is a direct connection between conjugate elements of G and RG-submodules of M. Finally, we show that there is a correspondence between the associative powers ?iM(G) of ?M(G) and ith dimension subgroups ?(?i R(G)) of G over R.

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The aim of this corrigendum is to arrange the acknowledgement section of our published article: ?On Submodules of Modules over Group Rings? [Filomat 34:2 (2020), 575-582]. Acknowledgement This article is dedicated to Professor Gradimir V. Milovanovic on the Occasion of his 70th anniversary. The authors thank the referees for their valuable comments and suggestions. This article is a follow-up of our extended abstract published in the Proceedings Book of MICOPAM2018. <br><br><font color="red"><b> Link to the corrected article <u><a href="http://dx.doi.org/10.2298/FIL2002575O">10.2298/FIL2002575O</a></b></u>