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Rings, Modules, Algebras

Robert Gilmer, Joachim von zur Gathen, David F. Anderson, Marco Fontana, Ira J. Papick, T. Y. Lam, Jürgen Herzog, Askar A. Tuganbaev, Jie-Tai Yu, Paul-Jean Cahen, Jean-Luc Chabert, Howard E. Bell, David Saltman, Paul M. Cohn, Wallace S. Martindale 3rd, Alexander V. Mikhalev, Askar A. Tuganbaev, Kostia Beidar, Richard Wiegandt, Lance W. Small, Victor T. Markov, Gary F. Birkenmeier, Bruno Buchberger, Leonid Bokut’, Alexei J. Belov, Louis H. Rowen, Jaques Helmstetter, Henry E. Heatherly, Vesselin Drensky, Laszlo Fuchs, S. T. Glavatsky, A. V. Mikhalev, Udo Hebisch, J. Weinert, Günter F. Pilz, Efim Zelmanov, Mikhael Zaicev, Andrej A. Zolotykh, Luiz A. Peresi, Franz Winkler and Günter F. Pilz

Chapter Chapter C in The Concise Handbook of Algebra, 2002, pp 153-354 from Springer

Abstract: Abstract Many problems in commutative algebra treat various ways that a fixed ideal (or each ideal of a given class of ideals) of a commutative ring can be decomposed. Generally speaking, early problems of this type that arose from algebraic geometry concerned representations of ideals as intersections, while those arising from algebraic number theory involved representations in terms of products.

Keywords: Prime Ideal; Hopf Algebra; Division Algebra; Jordan Algebra; Division Ring (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3267-3_3

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