Introduction to commutative algebra
by Macdonald, I.G, Atiyah, M.F
fromAddison-Wesley series in mathematics
Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual canonical basis of a quantized enveloping algebra and totally positive matrices. The aim of these notes is to give an introductio…
Algebraic K-theory, commutative algebra, and algebraic geometry: proceedings of the U.S.-Italy Joint Seminar held …
by Pedrini, Claudio, Dennis, R. Keith, Stein, Michael R., U.S.-Italy Joint Seminar on Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry, Santa Margherita Ligure, Italy)
fromContemporary mathematics (American Mathematical Society)
"This book provides a thorough, self-contained explanation of Galois theory of commutative rings. Requiring some background in commutative algebra and algebraic geometry, the book gives complete proofs of the main results of separable Galois theory. This edition includes a new c…
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and p…
Invitation to nonlinear algebra
by Michałek, Mateusz, Sturmfels, Bernd
fromGraduate studies in mathematics
