EXAMPLES OF NON-COMMUTATIVE v-BEZOUT RINGS
Let V be a total valuation ring of a division ring K. It is shown that R = V[xr, s|r μ/span>Q0],the skew semigroup ring of Q0 over V, is v-Bezout which is a non-commutative version of commutative GCD-domains, where Q0 is the semigroup of nonnegative rational numbers and s is a semigroup homomorphism from Q0to Aut(V).
total valuation ring, v-Bezout ring.
