![]() |
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
|
Your cart is empty |
||
Showing 1 - 1 of 1 matches in All Departments
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.
|
You may like...
Handbook of Innovation & Appropriate…
Philippe Regnier, Daniel Frey, …
Hardcover
R5,857
Discovery Miles 58 570
Contributions to a Computer-Based Theory…
Nicholas V. Findler
Paperback
R1,409
Discovery Miles 14 090
Complex Intelligent Systems and Their…
Fatos Xhafa, Leonard Barolli, …
Hardcover
R2,802
Discovery Miles 28 020
Air Power and Emerging Technologies
Anil Golani, Vijay Shankar Rana
Hardcover
R1,014
Discovery Miles 10 140
Models, Algorithms, and Technologies for…
Boris I. Goldengorin, Valery A. Kalyagin, …
Hardcover
R3,328
Discovery Miles 33 280
Instilling Digital Competencies Through…
Ezio Fregnan, Donatella Pinto, …
Hardcover
R5,094
Discovery Miles 50 940
|