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The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different...
The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different...
A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian gr...
From the reviews:
"Lattice-ordered rings and modules are of interest both to algebraists and to functional analysts. Previous authors have presented only those results that are needed for the applications that they have in mind. Having a book like this one would be a great boon. Both the algebraists...
A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian gr...
A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian gr...
From the reviews:
"Lattice-ordered rings and modules are of interest both to algebraists and to functional analysts. Previous authors have presented only those results that are needed for the applications that they have in mind. Having a book like this one would be a great boon. Both the algebraists...
From the reviews:
"Lattice-ordered rings and modules are of interest both to algebraists and to functional analysts. Previous authors have presented only those results that are needed for the applications that they have in mind. Having a book like this one would be a great boon. Both the algebraists...
Historically, the study of monomial ideals became fashionable after the pioneering work by Richard Stanley in 1975 on the upper bound conjecture for spheres. On the other hand, since the early 1990s, under the strong influence of Gröbner bases, binomial ideals became gradually fashionable in commut...