Abstract
All rings are assumed to be commutative with identity. In this paper, we give a sufficient condition for a locally GCD-domain to be a Prufer domain. We also introduce two new classes of rings that are closely related to almost generalized GCD (AGGCD)-domains and almost Prufer domains, namely AGGCD-rings and almost flat rings. We show that the theories of these rings resemble those of AGGCD-domains and almost Prufer domains.
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Acknowledgments
Thanks are due to Professor Muhammad Zafrullah who provided a substantial improvement to the original statement of Proposition 1. The author is grateful to the referee for helpful suggestions which have resulted in an improvement to the paper.
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Ali, M.M. Generalized GCD rings IV. Beitr Algebra Geom 55, 371–386 (2014). https://doi.org/10.1007/s13366-013-0168-0
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DOI: https://doi.org/10.1007/s13366-013-0168-0