28 research outputs found
Generalized equivalence of matrices over Prüfer domains
No full textTwo 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
Paweł Prüfer – Credibility and social relations Piotr Sztompka, "Wiarygodność. Sekret dobrych relacji", Znak Horyzont, Kraków 2023, ss. 318
No full textThe review (review essay) presents and analyzes the sociological discourse of Piotr Sztompka in relation to the category of credibility, lived, experienced and analyzed in society, especially in relational contexts. The author diagnoses the category of credibility in various areas of social life, including science, medicine and politics. This sociological argument is also open to formulating postulates that are educational and socializing in nature, and aimed at shaping a culture of credibility in theory and practice
expression and shoot architecture
No full textPlant architecture is modified by a regulatory system that controls axillary bud outgrowth. Key components in this system are strigolactones (SLs) and BRANCHED1, which inhibit bud outgrowth. Their role has been described in herbaceous model systems, including Arabidopsis, rice and pea. However, a role in woody perennial species, including the model tree poplar, has not been unequivocally proven. In this study, we tested a role for SLs in Populusxcanescens by treatment with the synthetic SL GR24. We generated MORE AXILLARY BRANCHING4 (MAX4) knockdown lines to study the architectural phenotype of poplar SL biosynthesis mutants and the expression of SL-regulated genes. We show that GR24 is perceived by the model tree poplar. MAX4 knockdown lines exhibit typical SL deficiency symptoms. The observed changes in branching pattern, internode length and plant height can be rescued by grafting. We identified putative poplar BRANCHED1 and BRANCHED2 genes and provide evidence for a regulation of BRANCHED1 by SLs. Our results suggest a conservation of major regulatory mechanisms in bud outgrowth control in the model tree poplar. This may facilitate further research, pinpointing the role of SLs and BRANCHED1 in the complex regulation of bud outgrowth in trees
Sequence-based Web Page Template Detection
No full textabstract: Templates are wildly used in Web sites development. Finding the template for a given set of Web pages could be very important and useful for many applications like Web page classification and monitoring content and structure changes of Web pages. In this thesis, two novel sequence-based Web page template detection algorithms are presented. Different from tree mapping algorithms which are based on tree edit distance, sequence-based template detection algorithms operate on the Prüfer/Consolidated Prüfer sequences of trees. Since there are one-to-one correspondences between Prüfer/Consolidated Prüfer sequences and trees, sequence-based template detection algorithms identify the template by finding a common subsequence between to Prüfer/Consolidated Prüfer sequences. This subsequence should be a sequential representation of a common subtree of input trees. Experiments on real-world web pages showed that our approaches detect templates effectively and efficiently.Dissertation/ThesisM.S. Computer Science 201
An Auction Market for Journal Articles
No full textEconomic articles are published very slowly. We believe this results from the poor incentives referees face. We recommend that an auction market replace the current, push system for submitting papers and demonstrate that our proposed market has a stable, Pareto-improving equilibrium. Besides the benefits of speed, this pull mechanism increases the quality of articles and journals and rewards referees for their effort. Although the auction price gives a prior on a paper's future value, its actual value|as a published article|depends on later citations. Since the auction price of later papers goes to the editors, authors and referees of earlier, cited articles, "auction earnings" give a direct measure of the value of articles, journals (the sum of articles) and academics - as authors, editors and reviewers - rewarding good writing, decisions and effort, respectively.Academic Journals;Academic Productivity;Market Design.
An Auction Market for Journal Articles
No full textEconomic articles are published very slowly. We believe this results mainly from the poor incentives referees face. We recommend that an auction market replace the current system for submitting papers and demonstrate a strict Pareto-improvement of equilibrium. Besides the benefits of speed, this mechanism increases the average quality of articles and journals and rewards editors and referees for their effort. In addition, the "academic dollars" for papers sold at auction go to the authors, editors and referees of cited articles. This income indicates academic productivity (facilitating decisions on tenure and promotion); its recirculation to journals further stimulates quality competition.Academic Journals;Academic Productivity;Market Design. JEL codes
In dignity, the depth of norms and values
No full textThe text is a review of Janusz Mariański's monograph on the value of dignity and education aimed at promoting and shaping dignity. The author intends not only to present the content of the aforementioned book by the Polish sociologist of religion and morality, but also to direct the reader to a broad view of the contexts that both promote dignity and threaten it
Competition Policy and Data Sharing on Data-driven Markets:Steps Towards Legal Implementation
No full textThe market power of big tech giants like Google, Facebook or Amazon is constantly growing. The ongoing trend towards monopolization in data-driven markets not only endangers competition, but also weakens economic innovative strength in the medium term. Politicians in Europe are largely in agreement that there is a need for action here, but there is no consensus on concrete solutions. So far, most proposals have relied on conventional competition law instruments. But is it enough to meet the new challenges with the existing antitrust law alone, or do we need new, more innovative political approaches? A recent proposal, which is receiving increasing attention both in Germany and at the European level, is the obligation to share data. If dominant companies were obliged to share the data they collect with other companies or public organizations, this would – so it is assumed – enable fair competition in digital markets. Ultimately, innovative power would also increase. In addition, the idea of data as a “common good” that is produced and shared collectively could be brought to life. The present study deals with central questions of the data sharing obligation and makes the concept tangible for politics and business. In addition, the author develops suggestions on how the concept can be implemented in legislative practice
Multi-valued fields
No full textFor more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of Prüfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of Prüfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field
Small groups of finite Morley rank with a supertight automorphism
No full textLet G be an infinite simple group of finite Morley rank and of Prüfer 2-rank 1 which admits a supertight automorphism ? such that the fixed-point subgroup CG(?n) is pseudofinite for all integers n>0. The main result of this paper is the identification of G with PGL2(K) for some algebraically closed field K of characteristic ?2. © 2024 The Author(s)Mathematisches Forschungsinstitut Oberwolfach, MFO; 338334, 322795The first author is funded by the Finnish Science Academy grant no: 338334. Part of this work was done when she was funded by the Finnish Science Academy grant no: 322795. The second author has completed part of this work during her sabbatical leave in 2022–2023 Academic Year which she spent at Wroc?aw University. The presentation of the paper was finished during the authors' stay in the Mathematisches Forschungsinstitut Oberwolfach
