02817nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100003100139245019300170250001700363260004200380300003100422505028500453653001700738653003700755653003500792653001200827653001200839700002600851700003100877700003100908710003400939041001900973989003600992856007201028082000801100520137101108EB000355160EBX0100000000000000020821200000000000000.0cr|||||||||||||||||||||130626 ||| eng a97803873671701 aBrewer, James W.e[editor]00aMultiplicative Ideal Theory in Commutative AlgebrahElektronische RessourcebA Tribute to the Work of Robert Gilmercedited by James W. Brewer, Sarah Glaz, William Heinzer, Bruce Olberding a1st ed. 2006 aNew York, NYbSpringer USc2006, 2006 aXV, 435 pbonline resource0 aa survey -- Mixed polynomial/power series rings and relatinos among their spectra -- Uppers to zero in polynomial rings -- On the dimension theory of polynomial rings over pullbacks -- Almost Dedekind domains which are not Dedekind -- Integrality properties of polynomial rings an aGroup theory aGroup Theory and Generalizations aCommutative Rings and Algebras aAlgebra aAlgebra1 aGlaz, Sarahe[editor]1 aHeinzer, Williame[editor]1 aOlberding, Brucee[editor]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005- uhttps://doi.org/10.1007/978-0-387-36717-0?nosfx=yxVerlag3Volltext0 a512 aFor over forty years, Robert Gilmer’s numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmer’s most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer’s article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer’s contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is intended for researchers and graduate students in the field of commutative algebra