The object of the first two sections of this memoir is to give explicit descriptions of both the Witt ring of the rational numbers [bold]Q and the set of abelian extensions of [bold]Q. The third presents a discussion around a particular case of the Galois cubic extension, buildi…
If [italic]k is a commutative ring, the isomorphism classes of [italic]k-algebroids (small [italic]k categories) form a commutative monoid under the tensor product. Moreover, Morita equivalence is a congruence relation on this monoid. It is shown that the group of invertible ele…
Combinatorics and commutative algebra
In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, G…
"In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, …
Computational invariant theory
by Kemper, Gregor, Derksen, Harm
fromEncyclopaedia of mathematical sciences
Computational invariant theory
by Kemper, Gregor, Derksen, Harm
fromEncyclopaedia of mathematical sciences
"This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built." -- Back cover.