Abstract
The main goal of this paper is to extend Flanigan’s theorem in [4] concerning ideal essential extensions of rings to left ideal essential extensions. Moreover, we give new proofs of two Flanigan’s theorems and answer a question raised by M. Petrich in [5] which is related to pure extensions of rings.
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Acknowledgement
The authors would like to thank Professor Jerzy Matczuk for many helpful comments and suggestions which improved the paper in a significant way.
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Nowakowska, M., Puczyłowski, E.R. On left ideal essential extensions of rings. Acta Math. Hungar. 162, 539–548 (2020). https://doi.org/10.1007/s10474-020-01066-x
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DOI: https://doi.org/10.1007/s10474-020-01066-x