Author: Salomon BochnerPublisher:
ISBN:
Category :
Languages : en
Pages : 76
Book Description
Lectures on Commutative Algebra
Author: Salomon BochnerLectures on Commutatives Algebra
Author: Lectures on Commutative Algebra
Author: Salomon BochnerPublisher:
ISBN:
Category : Algebra, Universal
Languages : en
Pages : 94
Book Description
Advanced Algebra
Author: Albert Arnold BennettPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 556
Book Description
Dictionary Catalog of the University Library, 1919-1962
Author: University of California, Los Angeles. LibraryPublisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 1062
Book Description
Commutative Algebra
Author: Andrea FerrettiPublisher: American Mathematical Society
ISBN: 1470474344
Category : Mathematics
Languages : en
Pages : 394
Book Description
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a rich and interesting context for the material covered. In addition, many results are reinterpreted from a geometric perspective, providing further insight and motivation for the study of commutative algebra. The content covers the classical theory of Noetherian rings, including primary decomposition and dimension theory, topological methods such as completions, computational techniques, local methods and multiplicity theory, as well as some topics of a more arithmetic nature, including the theory of Dedekind rings, lattice embeddings, and Witt vectors. Homological methods appear in the author's sequel, Homological Methods in Commutative Algebra. Overall, this book is an excellent resource for advanced undergraduates and beginning graduate students in algebra or number theory. It is also suitable for students in neighboring fields such as algebraic geometry who wish to develop a strong foundation in commutative algebra. Some parts of the book may be useful to supplement undergraduate courses in number theory, computational algebra or algebraic geometry. The clear and detailed presentation, the inclusion of computational techniques and arithmetic topics, and the numerous exercises make it a valuable addition to any library.
Lectures in Commutative Algebra
Author: Pierre SamuelPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 156
Book Description
Catalogue of Title-entries of Books and Other Articles Entered in the Office of the Librarian of Congress, at Washington, Under the Copyright Law ... Wherein the Copyright Has Been Completed by the Deposit of Two Copies in the Office
Author: Library of Congress. Copyright OfficePublisher:
ISBN:
Category : American drama
Languages : en
Pages : 1536
Book Description
Lectures on Commutative Algebra
Author: Balwant SinghProgress in Commutative Algebra 2
Author: Christopher FranciscoPublisher: Walter de Gruyter
ISBN: 311027860X
Category : Mathematics
Languages : en
Pages : 329
Book Description
This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. 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. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.