Abstract
A ring R is called right (left) principally small (PS)-injective if every R-homomorphism from a principal right (left) ideal contained in the Jacobson radical of R into R is given by left (right) multiplication by an element of R. In this work, we investigate various properties of the principal right (left) ideals of a right (left) PS-injective ring R. We also record some results on rings whose singular simple right (left) modules are PS-injective. Further, we obtain a characterization of PS-injective group rings.
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Acknowledgements
The authors sincerely thanks Prof. M. B. Rege for helpful suggestions. The authors are extremely grateful to the referee and editor Professor Pasquale Vetro for a prompt report of the paper.
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Das, S., Buhphang, A.M. On principally small-injective rings. Rend. Circ. Mat. Palermo, II. Ser 72, 141–155 (2023). https://doi.org/10.1007/s12215-021-00663-1
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DOI: https://doi.org/10.1007/s12215-021-00663-1