Auslander-Reiten Components of Symmetric Special Biserial Algebras

We provide a combinatorial algorithm for constructing the stable Auslander-Reiten component containing a given indecomposable module of a symmetric special biserial algebra using only information from its underlying Brauer graph. We also show that the structure of the Auslander-Reiten quiver is closely related to the distinct Green walks around the Brauer graph and detail the relationship between the precise shape of the stable Auslander-Reiten components for domestic Brauer graph algebras and their underlying graph. Furthermore, we show that the specific component containing a given simple or indecomposable projective module for any Brauer graph algebra is determined by the edge in the Brauer graph associated to the module.Comment: 30 page

Tubes Containing String Modules in Symmetric Special Multiserial Algebras

We provide a method for determining the existence and ranks of tubes in the stable Auslander-Reiten quiver of symmetric special multiserial algebras using only the information from the underlying Brauer configuration. Essentially, we generalise the notion of a Green walk around a Brauer graph to the notion of a Green `hyperwalk' around a Brauer configuration, and show that these walks determine the number and rank of some of the stable tubes of the corresponding algebra. This description includes both tame and wild symmetric special multiserial algebras. We also provide a description of additional rank two tubes in both tame and wild algebras that do not arise from Green hyperwalks, but which nevertheless contain string modules at the mouth.Comment: 45 page

Rich environments for active learning in action: Problem‐based learning

Rich Environments for Active Learning (REALs) are comprehensive instructional systems that are consistent with constructivist theories. They promote study and investigation within authentic contexts; encourage the growth of student responsibility, initiative, decision making and intentional learning; cultivate collaboration among students and teachers; utilize dynamic, interdisciplinary, generative learning activities that promote higher‐order thinking processes to help students develop rich and complex knowledge structures; and assess student progress in content and learning‐to‐learn within authentic contexts using realistic tasks and performances. Problem‐Based Learning (PBL) is an instructional methodology that can be used to create REALs. PBL's student‐centred approach engages students in a continuous collaborative process of building and reshaping understanding as a natural consequence of their experiences and interactions within learning environments that authentically reflect the world around them. In this way, PBL and REALs are a response to teacher‐centred educational practices that promote the development of inert knowledge, such as conventional teacher‐to‐student knowledge dissemination activities. In this article, we compare existing assumptions underlying teacher‐directed educational practice with new assumptions that promote problem solving and higher‐level thinking by putting students at the centre of learning activities. We also examine the theoretical foundation that supports these new assumptions and the need for REALs. Finally, we describe each REAL characteristic and provide supporting examples of REALs in action using PB

Media And Government Relations In Papua New Guinea

All is not well with news media in Papua New Guinea. Media and government relations are stressed, a situation adverse to the country's development. Media organisations have to deal with operational difficulties, threats against editorial freedom, and harassment or physical danger experienced by journalists. Yet there are positive factors providing hope for the future, especially that key element, freedom to publish, which goes together with a habit of openess in public life as part of the national culture. That is the main finding of a study made during a working visit to Papua New Guinea

An investigation of the parametric resonance of rectangular plates reinforced with closely spaced stiffeners

Parametric resonance and structural stability model of uniformly reinforced flat plate