Grobner Bases In Ring Theory

- Li, H: Grobner Bases in Ring Theory

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Grobner Bases In Ring Theory
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Format:
Bog, hardback
Udgivelsesdato:
12-10-2011
Sprog:
Engelsk
Sidetal:
295
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This monograph strives to introduce a solid foundation on the usage of Groebner 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 Groebner 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 Groebner 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, and regular central extension.With a self-contained and constructive Groebner basis theory for algebras with a skew multiplicative K-basis, numerous illuminating examples are constructed in the book for illustrating and extending the topics studied. Moreover, perspectives of further study on the topics are prompted at appropriate points. This book can be of considerable interest to researchers and graduate students in computational (computer) algebra, computational (noncommutative) algebraic geometry; especially for those working on the structure theory of rings, algebras and their modules (representations).

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Udgivelsesdato:
12-10-2011
ISBN13:
9789814365130
Vægt:
584 g
Dybde:
20 mm
Bredde:
157 mm
Højde:
235 mm
Format:
Hardback
Forfattere
Bibliotekernes beskrivelse A monograph that strives to introduce a foundation on the usage of Grobner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K. It reveals the intrinsic structural properties of Grobner bases. It presents a constructive PBW theory in a quite extensive context.

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