Ideal Theoretic Methods in Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings with zero divisors.

DANIEL D. ANDERSON is Professor of Mathematics at the University oflowa, Iowa City. He is the editor of Factorization in Integral Domains and author or coauthor of over 100 journal publications and book chapters, including several in Zero-Dimensional Commutative Rings and Commutative Ring Theory: Proceedings of the II International Conference (all titles, Marcel Dekker, Inc.). A member of the American Mathematical Society and the Mathematical Association of America, Dr. Anderson received the B.A. degree (1971) from the University of Iowa, Iowa City, and the M.S. (1971) and Ph.D. (1974) degrees from the University of Chicago, Illinois. IRA J. PAPICK is Professor of Mathematics at the University of Missouri, Columbia. The author or coauthor of many key professional papers, as well as the book Prufer Domains (Marcel Dekker, Inc.), Dr. Papick is a member of the American Mathematical Society. He received the Ph.D. degree (1975) in mathematics from Rutgers University, New Brunswick, New Jersey.