Abstract
It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded.
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Marubayashi, H. Ore Extensions over Total Valuation Rings. Algebr Represent Theor 13, 607–622 (2010). https://doi.org/10.1007/s10468-009-9139-4
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DOI: https://doi.org/10.1007/s10468-009-9139-4