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Structure In Zero-Divisor Graphs Of Commutative Rings, Philip S. Livingston
Structure In Zero-Divisor Graphs Of Commutative Rings, Philip S. Livingston
Masters Theses
In this research, we associate a graph in a natural way with the zero-divisors of a commutative ring. We endeavor to characterize various attributes of the graph, including connectivity, diameter, and symmetry. In exploring symmetry in the graph, we examine the automorphism group of the graph, and provide a complete characterization for the rings ZN. Secondly, we seek ring-theoretic properties which may be described in terms of the associated zero-divisor graph. These include, among other results, a strong relationship between finite local rings and graphs admitting a vertex connected to every other vertex.
Stratigraphy And Structure Of Part Of The Western Blue Ridge Foothills Near Tellico Plains, Southeastern Tennessee, Steven L. Martin
Stratigraphy And Structure Of Part Of The Western Blue Ridge Foothills Near Tellico Plains, Southeastern Tennessee, Steven L. Martin
Masters Theses
The Upper Proterozoic Walden Creek and Great Smoky Groups (Ocoee Supergroup) are a thick sequence of metasedimentary rocks that underlies the western Blue Ridge Foothills in southeastern Tennessee. These rocks represent synrift sedimentation along the Late Proterozoic to Early Cambrian Laurentian margin. They were subsequently deformed and metamorphosed during the Taconic orogeny (Ordovician), then brittlely deformed by northwestward thrusting during the Alleghanian orogeny (Permian). Rejected alternative interpretations suggest that the Walden Creek Group may be Middle Ordovician to Mississippian in age, and deposited in a post-Taconic successor basin, possibly during the Acadian orogeny. Those interpretations require that these rocks were …
The Greenbrier And Hayesville Faults In Central-Western North Carolina, Camilo Montes
The Greenbrier And Hayesville Faults In Central-Western North Carolina, Camilo Montes
Masters Theses
Detailed mapping in the easternmost western Blue Ridge of central-western North Carolina revealed that the premetamorphic Greenbrier fault separates the Snowbird Group from Great Smoky Group, and the Haysville fault separates eastern Blue Ridge assemblages from the Ocoee Supergroup units and western Blue Ridge basement. The faulted nature of the Snowbird-Great Smoky Groups contact suggests that the Great Smoky Group may have been transported northwestward farther than previously thought along the Greenbrier fault, and permitted the reinterpretation of changes in Snowbird Group stratigraphy within the footwall of Greenbrier fault previously associated with lateral facies changes later telescoped by Paleozoic thrusts. …