Shopping Cart
0 Item in Cart

Graduate Algebra: Commutative View
Click for related books: Louis Halle Rowen

(80 Ratings)

Retail Price: 1405.00/-
Price: 1265.00/-
Inclusive all taxes
10.00% OFF
Sold By: Machwan

Offer 1: Get 10.00% + Flat ₹ 50 discount on shopping of ₹ 1500
                use code:

Offer 2: Get 10.00% + Flat ₹ 150 discount on shopping of
                ₹ 5000 use code:

Free Shipping (for orders above ₹ 499)  *T&C apply.

In Stock Click For New Edition
Select Quantity :


This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties. Major topics include the theory of modules over a principal ideal domain, and its applications to matrix theory (including the Jordan decomposition), the Galois theory of field extensions, transcendence degree, the prime spectrum of an algebra, localization, and the classical theory of Noetherian and Artinian rings. Later chapters include some algebraic theory of elliptic curves (featuring the Mordell-Weil theorem) and valuation theory, including local fields. One feature of the book is an extension of the text through a series of appendices. This permits the inclusion of more advanced material, such as transcendental field extensions, the discriminant and resultant, the theory of Dedekind domains, and basic theorems of rings of algebraic integers. An extended appendix on derivations includes the Jacobian conjecture and Makar-Limanov's theory of locally nilpotent derivations. Gröbner bases can be found in another appendix. Exercises provide a further extension of the text. The book can be used both as a textbook and as a reference source.

More Details About Graduate Algebra: Commutative View
General Information
Author(s)Louis Halle Rowen
PublisherOrient Blackswan
Publish YearJanuary 2010
Reviews of Graduate Algebra: Commutative View
Average Rating

Write A Review


Top Reviews lists the most relevant product reviews only.