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Deformation of Artinian Algebras and Jordan Type
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.
Lefschetz Properties
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics. A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.
The Lefschetz Properties
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
Associated Graded Algebra of a Gorenstein Artin Algebra
In 1904, Macaulay described the Hilbert function of the intersection of two plane curve branches: It is the sum of a sequence of functions of simple form. This monograph describes the structure of the tangent cone of the intersection underlying this symmetry. Iarrobino generalizes Macaulay's result beyond complete intersections in two variables to Gorenstein Artin algebras in an arbitrary number of variables. He shows that the tangent cone of a Gorenstein singularity contains a sequence of ideals whose successive quotients are reflexive modules. Applications are given to determining the multiplicity and orders of generators of Gorenstein ideals and to problems of deforming singular mapping germs. Also included are a survey of results concerning the Hilbert function of Gorenstein Artin algebras and an extensive bibliography.
A Rainha das Ciências
O livro é um delicioso e apaixonante relato de quatro milênios de História da Matemática, para cuja compreensão bastam os conhecimentos adquiridos no segundo grau.
Beer in Health and Disease Prevention
Beer in Health and Disease Prevention is the single comprehensive volume needed to understand beer and beer-related science. Presenting both the concerns and problems of beer consumption as well as the emerging evidence of benefit, this book offers a balanced view of today's findings and the potential of tomorrow's research. Just as wine in moderation has been proposed to promote health, research is showing that beer – and the ingredients in beer – can have similar impact on improving health, and in some instances preventing disease. This book addresses the impact of beer and beer ingredients on cancers, cardiovascular disease, anti-oxidant benefits, and other health related concerns. It...
Encyclopedia of E-Health and Telemedicine
Patients and medical professionals alike are slowly growing into the digital advances that are revolutionizing the ways that medical records are maintained in addition to the delivery of healthcare services. As technology continues to advance, so do the applications of technological innovation within the healthcare sector. The Encyclopedia of E-Health and Telemedicine is an authoritative reference source featuring emerging technological developments and solutions within the field of medicine. Emphasizing critical research-based articles on digital trends, including big data, mobile applications, electronic records management, and data privacy, and how these trends are being applied within the healthcare sector, this encyclopedia is a critical addition to academic and medical libraries and meets the research needs of healthcare professionals, researchers, and medical students.
Dark Prisms
The mythological, folkloric, and religious beliefs of Western culture have resulted in a long and ongoing history of esoteric themes in theatre from the Middle Ages to the present in Spain and the America. Now Robert Lima, a noted comparatist, brings to bear on this material his wide knowledge of the world of the occult. Lima defines the terms "occult" and "occultism" broadly to embrace the many ways in which humans have sought to fathom a secret knowledge held to be accessible only through such supernatural agencies as alchemy, angelology, asceticism, astrology, demonolatry, divination, ecstasy, magic, necromancy, possession, Santeria, séances, voudoun, and witchcraft. The dramatic works covered range from medieval materializations of Hell to the Golden Age plays of Lope de vega, Tirso de Molina, and Calderón de la Barca, to modern stage works by Valle-Inclán, García Lorca, Casona, Miras, and a number of significant Afro-Brazilian and Caribbean dramatists. The concluding comprehensive bibliography of the drama of the occult is invaluable.
Occupational Safety and Hygiene IV
Occupational Safety and Hygiene IV covers a wide variety of topics, including but not limited to:- Occupational Safety- Risk Assessment- Ergonomics- Management Systems- Physical Environment - Construction Safety, and - Human FactorsThis compilation of papers in the domain of occupational safety and hygiene is mainly based on research works carried
