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Marki Alonia
Accompanying DVD-ROM provides access to the Marki Alonia website and contains databases (in several formats) documenting all the archaeological finds mentioned in the book.
Galois Connections and Applications
Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu man thinking wherever logical or mathematical reasoning about cer tain hierarchical structures is involved. Order-theoretically, a Galois connection is given simply by two opposite order-inverting (or order preserving) maps whose composition yields two closure operations (or one closure and one kernel operation in the order-preserving case). Thus, the "hierarchies" in the two opposite worlds are reversed or transported when passing to the other world, and going forth and back becomes a stationary process when iterated. The advantage of such an "adjoint sit...
The Novellino or One Hundred Ancient Tales
First published in 1997. Considered one of the first prose works in Italian and a precursor of the Decameron,this is the first complete translation of the Novellino into English, based on the 1525 editio princeps. While manuscripts vary as to wording and the number of tales, the 1525 first edition follows seven of the eight known manuscripts closely. The text includes a transcription of the 1525 edition, taken from the copy in the Parma Biblioteca Palatina. This transcription has been altered as little as possible, diacriticals are added and capitalization is systematized, but no attempt has been made to modernize the language. Vocabulary notes are provided, as are ample notes to explain the historical and cultural significance of figures and events in the tales. There is one bibliography for the Novellino and another for the explanatory notes.
Grbner Bases in Ring Theory
This monograph strives to introduce a solid foundation on the usage of Grbner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K. It also reveals the intrinsic structural properties of Grbner bases, presents a constructive PBW theory in a quite extensive context and, along the routes built via the PBW theory, the book demonstrates novel methods of using Grbner bases in determining and recognizing many more structural properties of algebras, such as the Gelfand?Kirillov dimension, Noetherianity, (semi-)primeness, PI-property, finiteness of global homological dimension, Hilbert series, (non-)homogeneous p-Koszulity, PBW-deformation...
Ring Theory V1
Ring Theory V1
Topological Rings Satisfying Compactness Conditions
Introduction In the last few years a few monographs dedicated to the theory of topolog ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM]. Ring theory can be viewed as a particular case of Z-algebras. Many general results true for rings can be extended to algebras over commutative rings. In topological algebra the structure theory for two classes of topological algebras is well developed: Banach algebras; and locally compact rings. The theory of Banach algebras uses results of Banach spaces, and the theory of locally compact rings uses the theory of LCA groups. As far as the author knows, the first papers on the theory of locally compact rings were [Pontr1]' [J1], [J2], [JT], [An], lOt], [K1]' [K2]' [K3], [K4], [K5], [K6]. Later two papers, [GS1,GS2]appeared, which contain many results concerning locally compact rings. This book can be used in two w.ays. It contains all necessary elementary results from the theory of topological groups and rings. In order to read these parts of the book the reader needs to know only elementary facts from the theories of groups, rings, modules, topology. The book consists of two parts.
Tales and Whispers
"Tales and Whispers" is this author's first published collection of short stories and personal quotes. The stories in this book are purely fictional but they still offer glimpses into the writer's soul since they are born from inspiration, dreams and real life experiences. They touch on a myriad of themes that are common to all who have undertaken the journey through this particular life on this our home planet for the time being. The author's personal quotes are also born of dreams, reflections, and real life experiences interacting with others and facing unique situations. Each one is most meaningful and personal. It is the author's hope that the reader will be able to identify with, to understand and perhaps to empathize with the various situations, dilemmas, conflicts, miseries, euphoria etc. that are shared by means of his stories and quotes.
