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Computational Algebra [Pehme köide]

Edited by (George Mason University, Fairfax, Virginia, USA)
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This valuable reference, based on the fifth Mid-Atlantic Algebra Conference held recently at George Mason University, Fairfax, Virginia, focuses on both the practical and theoretical aspects of computational algebra.
Integrating the fields of classical algebra, geometry, computer science, and engineering, Computational Algebra demonstrates specific computer packages, including the use of CREP to study the representation of theory for finite dimensional algebras and Axiom to study algebras of finite rank...introduces the theoretical concepts and problems of computational algebra...presents recent results that utilize the techniques of computational algebra...emphasizes the implementation of algorithms to compute classical algebraic results...provides a tutorial on Grobner bases within noncommutative rings...supplies information on a host of applications for new computational tools...and more.

Proceedings of a conference held at George Mason University, May 1993. Integrating the fields of classical algebra, geometry, computer science, and engineering, these papers demonstrate specific computer packages, including the use of CREP to study the representation of theory for finite dimensional algebras and Axiom to study algebras of finite rank; introduce the theoretical concepts and problems of computational algebra; present recent results that utilize the techniques of computational algebra; and emphasize the implementation of algorithms to compute classical algebraic results. No index. Annotation copyright Book News, Inc. Portland, Or.
"Parallel Computations in *-Semirings, S. Kamal Abdali The Group of
Periods of the Sum of Two Functions, Joseph P. Brennan and Wiktor Piotrowski
On Term-Orderings and Rankings, Guiseppa Carra Ferro and William Sit
Computational Aspects in the Representation Theory of Finite Dimensional
Algebras, Peter DrAxler Graphs and the Growth of Monomial Algebras, Harold W.
Ellingsen Jr. Generating Prime Ideals in the Minkowski Ring of Polytopes,
Klaus G. Fischer and Jay Shapiro Computations in Algebras of Finite Rank,
Johannes Grabmeier and Robert Wisbauer An Introduction to Noncommutative
Gröbner Bases, Edward I. Green The Separation Problem of Real Function
Partitions and its Significance in Solid Modeling, Christoph M. Hoffmann A
Survey on the Theory of Weakly-Injective Modules, S. K. Jain and S. R.
Lopez-Permouth Distributing Symbolic Computations on a Network of
Workstations, Todd C. Torgersen Calculations of Growth and Hilbert Series by
Computer, Victor Ufnarovski "
Klaus G. Fischer