Abstract
Let K = Q ( α ) , where α is a root of the monic irreducible polynomial x 2 · 3 s · q r − m with m ≠ ± 1 is a square-free integer, r and s are two positive integers, and q is a prime of the form 3 k + 2 . In this article, we study the monogenity of the number field K and establish conditions on m for K to be monogenic. Further, we provide sufficient conditions on r, s and m for K to be not monogenic. Finally, we illustrate our results with examples.
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