Let R be a prime ring of characteristic different from 2 and 3, Qr its right Martindale quotient ring, C its extended centroid, L a non-central Lie ideal of R and n ≥ 1 a fixed positive integer. Let α be an automorphism of the ring R. An additive map D: R → R is called an α-derivation (or a skew derivation) on R if D(xy) = D(x)y + α(x)D(y) for all x, y \in R. An additive mapping F: R → R is called a generalized α-derivation (or a generalized skew derivation) on R if there exists a skew derivation D on R such that F(xy) = F(x)y + α(x)D(y) for all x, y \in R. We prove that, if F is a nonzero generalized skew derivation of R such that F(x)×[F(x), x]n = 0 for any x \in L, then either there exists λ \in C such that F(x) = λx for all x \in R, or R\subset M_{2}\left ( C \right ) and there exist a \in Qr and λ \in C such that F(x) = ax + xa + λx for any x \in R., Vincenzo De Filippis., and Obsahuje seznam literatury
An annotated checklist of the tribe Mirini (Miridae: Mirinae) recorded on the Korean peninsula is presented. A total of 113 species, including newly described and newly recorded species are recognized. Three new species, Apolygus hwasoonanus Oh, Yasunaga & Lee, sp. n., A. seonheulensis Oh, Yasunaga & Lee, sp. n. and Stenotus penniseticola Oh, Yasunaga & Lee, sp. n., are described. Eight species, Apolygus adustus (Jakovlev, 1876), Charagochilus (Charagochilus) longicornis Reuter, 1885, C. (C.) pallidicollis Zheng, 1990, Pinalitopsis rhodopotnia Yasunaga, Schwartz & Chérot, 2002, Philostephanus tibialis (Lu & Zheng, 1998), Rhabdomiris striatellus (Fabricius, 1794), Yamatolygus insulanus Yasunaga, 1992 and Y. pilosus Yasunaga, 1992 are reported for the first time from the Korean peninsula. Korean specimens previously identified as Eurystylus luteus Hsaio, 1941 are correctly recognized as E. sauteri Poppius, 1915. Three new synonyms are proposed: Apolygus atriclavus Kim & Jung, 2016 syn. n. of A. xanthomelas Yasunaga & Yasunaga, 2000, A. josifovi Kim & Jung, 2016 syn. n. of A. subpulchellus (Kerzhner, 1988) and Capsus koreanus Kim & Jung, 2015 syn. n. of C. wagneri Remane, 1950. Dorsal habitus photographs of the newly described or recorded species are presented along with figures of the genitalia of the new species. Keys to Korean genera and to species of Apolygus and Stenotus are provided. Zoogeography of the East Asian Mirini fauna is also discussed., Minsuk Oh, Tomohide Yasunaga, Ram Keshari Duwal, Seunghwan Lee., and Obsahuje bibliografii