Commutative Algebra

In a relatively short time, commutative algebra has grown in many directions. Over a period of nearly fifty years starting from the so-called homological period till today, the area has developed into a rich laboratory of methods, structures and problem-solving tools.

One could say a distinct modern trend of commutative algebra is a strong interaction with various aspects of Combinatorics and Computer Algebra. This has resulted in a new sense of measuring for old assumptions, and a better understanding of old results.

At the same time, Invariant Theory and Algebraic Geometry remain constituents of an everlasting classical source, responsible for important themes that have been developed in Commutative Algebra — such as deformation, linkage, algebraic tori and determinantal rings, etc.

This volume of proceedings is well-entrenched on the lines of development outlined above. As such, it aims to keep researchers and mathematicians well-informed of the developments in the field.

Sample Chapter(s)
On Affine Fibrations (357 KB)

• On Affine Fibrations (S M Bhatwadekar & A K Dutta)
• On the Concept of Perfectness by Macaulay (H Bresinsky & W Vogel)
• Syzygies and Walks (W Bruns et al.)
• Specialization of Rees Algebras with a View to Tangent Star Algebras (G Kennedy et al.)
• The Deviation Two Gorenstein Rings of Huneke and Ulrich (A R Kustin)
• Certain Curves are Set-Theoretic Complete Intersections (D P Patil)
• Regular Sequences and Elimination (G Scheja & U Storch)
• Reduction Number, a-Invariant and Rees Algebras of Ideals having Small Analytic Deviation (N V Trung)
• The Integral Closure (W V Vasconcelos)
• Hilbert Functions of Bigraded Algebras (J K Verma)