Four generated, squarefree, monomial ideals

Let $I\supsetneq J$ be two squarefree monomial ideals of a polynomial algebra over a field generated in degree $\geq d$, resp. $\geq d+1$ . Suppose that $I$ is either generated by three monomials of degrees $d$ and a set of monomials of degrees $\geq d+1$, or by four special monomials of degrees $d$. If the Stanley depth of $I/J$ is $\leq d+1$ then the usual depth of $I/J$ is $\leq d+1$ too.Comment: to appear in "Bridging Algebra, Geometry, and Topology", Editors Denis Ibadula, Willem Veys, Springer Proceed. in Math. and Statistics, 96, 201

Election Flops on YouTube

In an election campaign as drawn out as this, you'd have to have excellent memory to remember the hype around John Howard's use of YouTube to make policy announcements. Some months ago, the media were all over the story - but unfortunately for the Prime Minister, much like the widely-predicted poll 'narrowing', the YouTube effect has been missing in action

Beyond Gotcha: Blogs as a Space for Debate

The mainstream media and critics of Web 2.0’s "cult of the amateur" often suggest that blogs and citizen journalism will never replace their mainstream counterparts because they "don’t break stories". Notwithstanding the fundamental furphy – who ever said anything about "replacing" the MSM anyway? – there is some truth in this. It goes without saying that most bloggers don’t have the resources, pulling power or proximity to the pollies to do much original political reporting: this is something that most sensible public affairs bloggers concede. (Though how often the mainstream media really break stories – as against exploiting deliberate, calculated ‘leaks’ from party spinsters – is a separate question.

Blogging outside the Echo Chamber

In the current political climate, it's no surprise that a number of sessions at the recent Australian Blogging Conference at Queensland University of Technology in Brisbane focussed on the potential for blogs and other citizen journalism sites to impact on political news and punditry. In a previous article, we've already noted the continuing skirmishes between psephologist bloggers and the political commentators, whose rather unscientific interpretation of opinion poll results that some bloggers have challenged fervently

Beyond Problems and Cases: Discussion Materials for Accounting in Executive Programs Business School

Selection or development of classroom materials for an accounting class in an executive program is complicated by the fact that some students enter the program with a substantial knowledge of accounting while others may have no background at all. Furthermore, general management programs do not usually focus on making all students equally knowledgeable about what accountants do and how to use the information that accounting provides. Problems and cases are sometimes not successful as discussion materials in the mixed audience class because some students are not challenged while others are overwhelmed because of their lack of exposure to the methods and principles of accounting. We describe a new class of materials prepared for executive program accounting classes that are based on contemporary events that become the bases for informed discussion among students where learning takes place at each student’s level while working in small groups to understand the problems, possible solutions, and actions that might be taken to clarify issues and solutions to the problems posed. Three examples are described and illustrated

Linear resolutions of powers and products

The goal of this paper is to present examples of families of homogeneous ideals in the polynomial ring over a field that satisfy the following condition: every product of ideals of the family has a linear free resolution. As we will see, this condition is strongly correlated to good primary decompositions of the products and good homological and arithmetical properties of the associated multi-Rees algebras. The following families will be discussed in detail: polymatroidal ideals, ideals generated by linear forms and Borel fixed ideals of maximal minors. The main tools are Gr\"obner bases and Sagbi deformation

Book Review: \u27The Nazarene Gospel Restored\u27 by Robert Graves and Joshua Podro

A review of the book, The Nazarene Gospel Restored, which was published by Doubleday & Co. in 1954 and authored by Robert Graves and Joshua Podro

Book Review: \u27Jew And Greek: A Study in the Primitive Church\u27 by Gregory Dix

A review of the book, Jew And Greek: A Study in the Primitive Church, which was published by Harper & Bros. in 1953 and authored by Gregory Dix