# Commutative Algebra II

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## Commutative algebra of generalised Frobenius numbers

Algebra Calculator - get free step-by-step solutions for your algebra math problems. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings factorization, ideal theory, integrality , and noetherian rings the local theory, graded situation, and interactions with combinatorics and geometry.

This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra.

It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. The number of jokes and quotes has increased exponentially due to the little-known fact that a good mathematical joke is better than a dozen mediocre papers. The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions.

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The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever! Now they have gifted us with the second volume ….

## Commutative algebra

In this second volume the authors continue with the same style, as the first, an almost humorous one. Machado, Mathematical Reviews, Issue h. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications.