Abstract
The aim of this article is to introduce the concept of graded -absorbing coprimary submodules as a generalization of graded strongly -absorbing second submodules, and explore some properties of this class. A nonzero graded -submodule of a graded -module is called a graded -absorbing coprimary -submodule if whenever are homogeneous elements of and is a graded -submodule of such that , then either or is in the graded radical of or . Several results have been achieved.
Acknowledgments
The authors would like to thank the reviewer for his/her thoughtful comments, corrections, and efforts towards improving our article. The comments and corrections were all valuable and very helpful for revising and improving our article, as well as the important guiding significance to our research.
Citation
Malik Bataineh. Rashid Abu-Dawwas. "ON GRADED -ABSORBING COPRIMARY SUBMODULES." Missouri J. Math. Sci. 34 (2) 174 - 183, November 2022. https://doi.org/10.35834/2022/3402174
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