000			03805nam a22004695i 4500
001			978-1-4419-6990-3
003			DE-He213
005			20140220083722.0
007			cr nn 008mamaa
008			100929s2011 xxu| s |||| 0|eng d
020			_a9781441969903 _9978-1-4419-6990-3
024	7		_a10.1007/978-1-4419-6990-3 _2doi
050		4	_aQA251.3
072		7	_aPBF _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.44 _223
100	1		_aFontana, Marco. _eeditor.
245	1	0	_aCommutative Algebra _h[electronic resource] : _bNoetherian and Non-Noetherian Perspectives / _cedited by Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aVIII, 492p. 3 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_a- Introduction -- 1. Principal-like Ideals and Related Polynomial Content Conditions (D.D. Anderson) -- 2. Zero-divisor Graphs in Commutative Rings (D.F. Anderson, M. Axtell, J. Stickles) -- 3. Class Semigroups and T-class Semigroups of Domains (S. Bazzoni, S. Kabbaj) -- 4. Forcing Algebras, Syzygy Bundles, and Tight Closure (H. Brenner) -- 5. Beyond Totally Reflexive Modules and Back: A Survey on Gorenstein Dimensions (L.W. Christensen, H.B. Foxby, H. Holm) -- 6. On V-domains: A Survey (M. Fontana, M. Zafrullah) -- 7. Tensor Products of Algebras Over a Field (H. Haghighi, M. Tousi, S. Yassemi) -- 8. Multiplicative Ideal Theory in the Context of Commutative Monoids (F. Halter-Koch) -- 9. Projectively-Full Ideals and Compositions of Consistent Systems of Rank One Discrete Valuation Rings: A Survey (W. Heinzer, J. Ratliff, D. Rush) -- 10. Direct-sum Behavior of Modules Over One-dimensional Rings (R. Karr, R. Wiegand) -- 11. The Defect (F.V. Kuhlmann) -- 12. The Use of Ultrafilters to Study the Structure of a Commutative Ring (K.A. Loper) -- 13. Integrally Closed Overrings of Two-dimensional Noetherian Domains (B. Olberding) -- 14. Almost Perfect Domains and Their Modules (L. Salce) -- 15. Characteristic p Methods in Characteristic Zero via Ultraproducts (H. Schoutens) -- 16. Rees Valuations (I. Swanson) -- 17. Weak Normality and Seminormality (M. Vitulli).
520			_aCommutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters are internationally renowned for their important contributions to various aspects of current research in commutative algebra. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying commutative algebra.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aAlgebra.
650	1	4	_aMathematics.
650	2	4	_aCommutative Rings and Algebras.
650	2	4	_aAlgebraic Geometry.
700	1		_aKabbaj, Salah-Eddine. _eeditor.
700	1		_aOlberding, Bruce. _eeditor.
700	1		_aSwanson, Irena. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441969897
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-6990-3
912			_aZDB-2-SMA
999			_c105670 _d105670