A new species and new records of Aphodius Illiger (Coleoptera: Scarabaeidae: Aphodiinae) from mammal burrows in Nebraska

Direct sampling of rodent burrows in Nebraska resulted in the collection of 16 species of Aphodius Illiger previously unknown from the state, including specimens of four undescribed species. One of these species is described here as new: Aphodius viceversus new species recorded from Nebraska and Kansas. Other Aphodius species recorded from Nebraska for the first time include A. acuminatus Cartwright, A. anomaliceps Brown, A. carri Brown, A. criddlei Brown, A. kirni Cartwright, A. kiowensis Gordon and Salsbury, A. magnificens Robinson, A. neodistinctus Brown, A. peculiosus Schmidt, A. punctissimus Brown, A. thomomysi Brown, and A. leptotarsis Brown. Collecting information is summarized for each species

A new genus for the Neotropical species of Aesalus Fabricius, with descriptions of eight new species (Coleoptera: Lucanidae: Aesalinae)

The Neotropical members of the genus Aesalus Fabricius (Coleoptera: Lucanidae: Aesalinae) are transferred to a new genus, Trogellus, due to their morphological dissimilarity and molecular divergence from the Old World species of Aesalus, and the new genus is revised. A neotype is designated for A. trogoides Albers and a lectotype for A. neotropicalis Bates. Aesalus smithi Bates is placed into synonymy with Aesalus trogoides, new synonymy. Two new combinations result from the transfer of species formerly in Aesalus: Trogellus trogoides from Mexico and Trogellus neotropicalis from Guatemala. In addition to the two known species, eight new species are described: T. catrachitus, T. chapinitus, T. hawksi, T. herrmanni, T. maesi, T. narizotus, T. ticiticus, and T. trifinius. This brings the total number of species of Central American aesalines to ten. A phylogeny of Aesalini based on two gene regions of ribosomal DNA is presented. Due to clear morphological differences and large molecular divergence between species groups, two additional new subgenera of Trogellus are proposed: Mayaesalus and Trogoides

Vector spaces with an order unit

We develop a theory of ordered *-vector spaces with an order unit. We prove fundamental results concerning positive linear functionals and states, and we show that the order (semi)norm on the space of self-adjoint elements admits multiple extensions to an order (semi)norm on the entire space. We single out three of these (semi)norms for further study and discuss their significance for operator algebras and operator systems. In addition, we introduce a functorial method for taking an ordered space with an order unit and forming an Archimedean ordered space. We then use this process to describe an appropriate notion of quotients in the category of Archimedean ordered spaces.Comment: 38 pages, uses XY-pic, Version 2 comments: minor typos corrected.; Version 3 Comments: minor typos corrected; Version 4 Comments: minor typos corrected, hypothesis of Archimedean added to Theorem 4.22, To appear in Indiana Univ. Math.