In this paper, we determine some sufficient conditions for an $A + XB[X]$ domain to be an HFD. As a consequence we give new examples of HFDs of the type $A + XB[X]$.

Keywords:

atomic domain, HFD atomic domain, HFD

MSC Classifications:

13A05, 13B30, 13F15, 13G05 show english descriptions Divisibility; factorizations [See also 13F15]
Rings of fractions and localization [See also 16S85]
Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05]
Integral domains 13A05 - Divisibility; factorizations [See also 13F15]
13B30 - Rings of fractions and localization [See also 16S85]
13F15 - Rings defined by factorization properties (e.g., atomic, factorial, half-factorial) [See also 13A05, 14M05]
13G05 - Integral domains

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