85 research outputs found

    On generic polynomials

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    AbstractWe examine over arbitrary fields the possible implications among the concepts due to D. Saltman of generic Galois extension, retract rational extension, the lifting property for Galois extensions, the notions due to G. Smith of generic polynomial, and of descent generic polynomial due to F. DeMeyer

    "'Zorg ervoor, leef in de problemen': De affectieve dominant in de hedendaagse Nederlandstalige poëzie"

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    Demeyer & Vitse (2018, 2020) argue that contemporary Dutch-language fiction reveals a dominant focus on affective questions and concerns about attachment and connection to the world and to the other. This article aims to examine to what extent this hypothesis of the ‘affective dominant’ applies to contemporary Dutch-language poetry. It verifies this hypothesis in close readings of three recently published poetry collections, by Frank Keizer, Maxime Garcia Diaz and Dewi de Nijs Bik. We argue that these poetry collections also evoke a subjective experience of the world which is primarily affective, in the sense that it is primarily an experience of being violently and painfully affected by the world. The subject is exposed to the violence of political depression (Keizer), to the violence of misogynist digital culture (Garcia Diaz) and to the violence of intergenerational (post)colonial wounding (De Nijs Bik). In these poetry collections this affective focus is – more explicitly than in contemporary fiction – overdetermined by political and ideological critique. We contend that the affective is epistemologically mediated by frames derived from neomarxism, postcolonialism and gender critique. This epistemological mediation affords the possibility to move towards a reparative position of healing, connection and resilience

    Twisted forms of finite étale extensions and separable polynomials

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    Examples of twisted forms of finite étale extensions and separable polynomials are calculated using Mayer-Vietoris sequences for non-abelian cohomology

    Generalized equivalence of matrices over Prüfer domains

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    Two m×n matrices A,B over a commutative ring R are equivalent in case there are invertible matrices P, Q over R with B=PAQ. While any m×n matrix over a principle ideal domain can be diagonalized, the same is not true for Dedekind domains. The first author and T. J. Ford introduced a coarser equivalence relation on matrices called homotopy and showed any m×n matrix over a Dedekind domain is homotopic to a direct sum of 1×2 matrices. In this article give, necessary and sufficient conditions on a Prüfer domain that any m×n matrix be homotopic to a direct sum of 1×2 matrices

    Zero divisor graphs of semigroups

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    AbstractThe zero divisor graph of a commutative semigroup with zero is a graph whose vertices are the nonzero zero divisors of the semigroup, with two distinct vertices joined by an edge in case their product in the semigroup is zero. We continue the study of this construction and its extension to a simplicial complex

    Object-Oriented Reengineering Patterns

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    ii iii Praise for Object-Oriented Reengineering Patterns “How ” to refactor is already well covered in the literature. However, “When ” and “Why ” can only be learned by experience. This book will give you a head start in learning when to start redesigning a system, when to stop for now, and what effects you can expect to see from your efforts. — Kent Beck, Director, Three Rivers Institute This book is full of practical, hands-on reengineering knowledge and ex-pertise presented in a form that makes it easy to understand and use. The patterns in this book thus help everyone who is concerned with using reengineering to guide their work. I wish I had had this book in my li-brary earlier. — Frank Buschmann, Senior Principal Engineer Siemens AG This book is more than its title advertises. Effective reengineering is really about purposeful and efficient reading of someone else’s code in order to produce predictable change. The same processes the authors highlight as patterns of skillful reengineering behavior can easily be cast as the skills you need to create readable, maintainable software systems. — Adele Goldberg, Neometron, Inc. If a guy named Dave brought a large box to my office that contained a lot of documentation and two CDs-installation disks for software that my company wanted to reengineer — I’d be happy to have the authors of this book by my side. Barring that, having their book is the next best thing. No silver bullets, no hype, no promises that this will be easy — just a down-to-earth, easy-to-read, extremely useful book of helpful guidelines to tackle the project. Buy this book and browse it before Dave arrives in your office! It just might save you and your company a lot of grief. — Linda Rising, Independent Consultant iv This book is available as a free download fro

    Another Proof of the Fundamental Theorem of Galois Theory

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