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The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature. With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area. Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.
This proceedings volume documents the contributions presented at the CONIAPS XXVII International Conference on Recent Advances in Pure and Applied Algebra. The entries focus on modern trends and techniques in various branches of pure and applied Algebra and highlight their applications in coding, cryptography, graph, and fuzzy theory. The book comprised a total of eighteen chapters, among which the first fourteen chapters are devoted to Algebra and related topics, and the last four chapters are included applied mathematics parts. The chapters present the latest research work being done on the frontiers of the various branches of algebra as well as showcase the cross-fertilization of the idea...
This volume discusses the sustainability of Egypt’s agriculture and the challenges involved. It provides a comprehensive review and the latest research findings, and covers a variety of topics under the following themes: · Integrated natural resources management for sustainable production · Integrated biopesticides and biofertilizers for sustainable agriculture · Integrated plant and animal production for a sustainable food supply · Policies for sustainable agriculture in Egypt The volume closes with a summary of the key conclusions and recommendations from all chapters. Together with the companion volume Sustainability of Agricultural Environment in Egypt: Part I, it offers an essential source of information for postgraduate students, researchers, and stakeholders alike.
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Educators and education; Turkey; biography.
This book covers all aspects of naturally occurring phenomenon of Plant-Pathogen Interaction (PPI). Recent findings and scientific explanations to understand PPI are provided accompanied by numerous helpful photographs and pictorial presentations. In addition, tabulated data is also included to aid in getting insight into the subject and identifying the missing links. Essential information is provided on physiological, biochemical and pathology consequences of PPI and distinguished sections are devoted to explain molecular and regulatory mechanism underlying PPI. Further topics include different classes of plant pathogen, receptor molecules, signaling system, secondary metabolism and plant defense system etc. This book helps the readers in understanding the state of art and emerging technics to explore PPI and in identifying the missing links which further help in creating the background for future exploration of PPI in terms of experimental and technical advancements.
, Praying for health is a significant Islamic custom alongside seeking medical treatment, and has become a vital part of Muslim culture. There are two areas of focus in this book: the methodology and criteria of praying for health, and the results of a study on the effect of prayer on Muslim patients' well-being. This study was conducted at Brigham and Women's Hospital, a Harvard Medical School teaching affiliate in Boston, MA. Twenty-Five Remedies, a work by prominent contemporary Muslim scholar Said Nursi, included in this book, further enriches the scope of the subject of prayer and healing. ,
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.