Question: Are both Polypodium and Mukdenia considered genus species of ferns?

full_context: Document 1: Blechnum: Blechnum (hard fern) is a genus of between 150–220 species of ferns with a cosmopolitan distribution, in the family Blechnaceae in the eupolypods II clade of the order Polypodiales. By far the greatest species diversity is in tropical regions of the Southern Hemisphere, with only a few species reaching cool temperate latitudes in the Southern Hemisphere (notably "B. penna-marina", south to Cape Horn, Chile, the southernmost fern in the world) and Northern Hemisphere (notably "B. spicant", north to Iceland and northern Norway).
Document 2: Michauxia: Michauxia is a genus of plants in the Campanulaceae. It contains 7 known species native to southwestern Asia.
Document 3: Mazus: Mazus is a genus of low-growing perennial plants. It has been placed in various plant families including Phrymaceae, Scrophulariaceae, and recently in the family Mazaceae. Consisting of around 30 species, this genus is generally found in damp habitats in lowland or mountain regions of China, Japan, Southeast Asia, Australia and New Zealand.
Document 4: Chaenomeles: Chaenomeles is a genus of three species of deciduous spiny shrubs, usually 1–3 m tall, in the family Rosaceae. They are native to Japan, Korea, China, Bhutan, and Burma. (Burmese: ချဉ်စော်ကား ) These plants are related to the quince ("Cydonia oblonga") and the Chinese quince ("Pseudocydonia sinensis"), differing in the serrated leaves that lack fuzz, and in the flowers, borne in clusters, having deciduous sepals and styles that are connate at the base.
Document 5: Maackia: Maackia is a genus of flowering plants in the legume family, Fabaceae. There are about 12 species, all native to eastern Asia, with six endemic to China. The generic name honors the botanist Richard Maack.
Document 6: Polypodium appalachianum: Polypodium appalachianum is a fern species native to eastern North America. Sometimes called the Appalachian polypody or Appalachian rockcap fern, it is very similar in appearance to "Polypodium virginianum". For years, "P. virginianum" -- long considered a variety of the British "Polypodium vulgare" -- was recognized as having cryptic races, with diploid, triploid, and tetraploid representatives. Since the triploid specimens bore abortive spores, it was apparently the hybrid between the diploid and tetraploid groups. In 1991, it was resolved that the type of "P. virginianum" was the tetraploid series, and that it is an allotetraploid species of hybrid origin, with the diploid species as one parent. The diploid species was then named "P. appalachianum". The other parent of "P. virginianum" was found to be "Polypodium sibiricum". The tetraploid of hybrid derivation tolerates warmer climates than either parent.
Document 7: Polypodium: Polypodium is a genus of 75–100 species of true ferns, widely distributed throughout the world, with the highest species diversity in the tropics. The name is derived from Ancient Greek "poly" (πολύ) "many" + "podion" (πόδιον) "little foot", on account of the foot-like appearance of the rhizome and its branches. They are commonly called polypody or rockcap fern, but for many species unique vernacular names exist.
Document 8: Phlebodium: Phlebodium is a small genus of two to four species of ferns, native to tropical and subtropical regions of the Americas. The genus is closely related to "Polypodium", and the species were formerly included in that genus.
Document 9: Chaenomeles: Chaenomeles is a genus of three species of deciduous spiny shrubs, usually 1–3 m tall, in the family Rosaceae. They are native to Japan, Korea, China, Bhutan, and Burma. (Burmese: ချဉ်စော်ကား ) These plants are related to the quince ("Cydonia oblonga") and the Chinese quince ("Pseudocydonia sinensis"), differing in the serrated leaves that lack fuzz, and in the flowers, borne in clusters, having deciduous sepals and styles that are connate at the base.
Document 10: Polystichum proliferum: Polystichum proliferum, commonly known as mother shield fern is an Australian endemic fern. The genus name Polystichum is derived from Greek "poly" - many, and "stichos -" rows referring to the many rows of sori. The species name is derived from Latin, "Proli" – offspring and "fer -" bearing referring to the proliferous buds, a prominent feature of the species.
Document 11: Deinanthe: Deinanthe is a genus consisting of a few species of rare herbaceous-habit rhizomatous plants found in the mountain woodlands of East Asia, ranging from China to Japan. They are handsome clump-forming perennials good for shade, woodland and rock gardens. These attractive deciduous plants have relatively large "fishtail" leaves (cleft at the apex). Deinanthes grow at a slow rate to be bushy and shrub-like, 2ft tall and wide. The leaves attain 3 to 4 inches in length,being deep green, roughly textured, deep veined, cordate at their bases and with serrate margins. The shoots emerge from stout, knobby rhizomes. Leaves are easily damaged in direct sun exposure. Flowering occurs in late summer to early fall. The delicate, waxy, nodding cup-shaped flowers in rich to pale purple-blue, rose or white, are borne in loose terminal clusters. Resembling gargantuan fertile hydrangea flowers, with numerous yellowish to pale blue anthers, they are occasionally accompanied by sterile flowers, as in the lacecap hydrangeas. Roots and leaves are edible.
Document 12: Polystichum: Polystichum is a genus of about 260 species of ferns with a cosmopolitan distribution. The highest diversity is in eastern Asia, with about 120 species in China alone; the region from Mexico to Brazil has nearly 100 additional species; Africa (17 species), North America (15 species), and Europe (5 species) have much lower diversity. Polystichum species are terrestrial or rock-dwelling ferns of warm-temperate and montane-tropical regions (a few species grow in alpine regions).
Document 13: Mukdenia: Mukdenia is a genus of plants in the saxifrage family, Saxifragaceae, consisting of 2 species. They are native to woodland areas of east Asia and Japan.
Document 14: Athyrium: Athyrium (lady-fern) is a genus of about 180 species of terrestrial ferns, with a cosmopolitan distribution. It is placed in the family Athyriaceae, in the order Polypodiales.
Document 15: Mahonia: Mahonia is a genus of about 70 species of evergreen shrubs in the family Berberidaceae, native to eastern Asia, the Himalaya, North America, and Central America. They are closely related to the genus "Berberis". Botanists disagree on the acceptability of the genus name "Mahonia". Several authorities argue plants in this genus should be included in the genus "Berberis" because several species in both genera are able to hybridize, and because when the two genera are looked at as a whole, there is no consistent morphological separation except simple vs compound leaves. "Mahonia" typically have large, pinnate leaves 10–50 cm long with five to fifteen leaflets, and flowers in racemes which are 5–20 cm long.
ground_truth: no