Abstract
We recall the foundational principles of the Quillen–Suslin theory, namely Monic Inversion, Local–Global Principle, and Normality of the Elementary subgroup; and recall the equivalence of the last two principles done earlier by Rabeya Basu–Reema Khanna–Ravi A. Rao. We now establish the equivalence of the Monic Inversion Principle with the other two principles.
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Acknowledgements
The second named author would like to thank Professor Raja Sridharan and Professor Gopala Krishna Srinivasan for their constant encouragement and attention to details during this work. He also acknowledges the financial support from CSIR, which enabled him to pursue his doctoral studies. The first named author thanks Neeraj Kumar who pointed out, during the talk, that the statements (3), (4) of Theorem 2 needed to be revised appropriately.
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Rao, R.A., Yadav, S.K. (2020). Relating the Principles of Quillen–Suslin Theory. In: Ambily, A., Hazrat, R., Sury, B. (eds) Leavitt Path Algebras and Classical K-Theory. Indian Statistical Institute Series. Springer, Singapore. https://doi.org/10.1007/978-981-15-1611-5_18
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DOI: https://doi.org/10.1007/978-981-15-1611-5_18
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