000 07067nam a22009495i 4500
001 9783110278606
003 DE-B1597
005 20200803184523.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190708s2012 gw fo d z eng d
020 _a9783110278606
024 7 _a10.1515/9783110278606
_2doi
035 _a(DE-B1597)175264
035 _a(OCoLC)795120010
035 _a(OCoLC)853262728
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
072 7 _aMAT002010
_2bisacsh
245 0 0 _aProgress in Commutative Algebra 2 :
_bClosures, Finiteness and Factorization /
_cSean M. Sather-Wagstaff, Christopher Francisco, Lee C. Klingler, Janet C. Vassilev.
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2012]
264 4 _c©2012
300 _a1 online resource (325 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aDe Gruyter Proceedings in Mathematics
505 0 0 _t Frontmatter --
_tPreface --
_tContents --
_tA Guide to Closure Operations in Commutative Algebra /
_rEpstein, Neil --
_tA Survey of Test Ideals /
_rSchwede, Karl / Tucker, Kevin --
_tFinite-dimensional Vector Spaces with Frobenius Action /
_rEnescu, Florian --
_tFiniteness and Homological Conditions in Commutative Group Rings /
_rGlaz, Sarah / Schwarz, Ryan --
_tRegular Pullbacks /
_rBoynton, Jason G. / Sather-Wagstaff, Sean --
_tNoetherian Rings without Finite Normalization /
_rOlberding, Bruce --
_tKrull Dimension of Polynomial and Power Series Rings /
_rWatkins, John J. --
_tThe Projective Line over the Integers /
_rCelikbas, Ela / Eubanks-Turner, Christina --
_tOn Zero Divisor Graphs /
_rCoykendall, Jim / Sather-Wagstaff, Sean / Sheppardson, Laura / Spiroff, Sandra --
_tA Closer Look at Non-Unique Factorization via Atomic Decay and Strong Atoms /
_rChapman, Scott T. / Krause, Ulrich
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThis 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.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
_uhttps://creativecommons.org/licenses/by-nc-nd/4.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650 4 _aClosure.
650 4 _aCommutative Algebra.
650 4 _aDecomposition.
650 4 _aFactorization.
650 4 _aNoetherian ring.
650 4 _anon-Noetherian ring.
650 7 _aMATHEMATICS / Algebra / Abstract.
_2bisacsh
700 1 _aBoynton, Jason G.
700 1 _aCelikbas, Ela.
700 1 _aChapman, Scott T.
700 1 _aCoykendall, Jim.
700 1 _aEnescu, Florian.
700 1 _aEpstein, Neil.
700 1 _aEubanks-Turner, Christina.
700 1 _aFrancisco, Christopher,
_eeditor.
700 1 _aGlaz, Sarah.
700 1 _aKlingler, Lee C.,
_eeditor.
700 1 _aKrause, Ulrich.
700 1 _aOlberding, Bruce.
700 1 _aSather-Wagstaff, Sean M.,
_eeditor.
700 1 _aSather-Wagstaff, Sean.
700 1 _aSchwarz, Ryan.
700 1 _aSchwede, Karl.
700 1 _aSheppardson, Laura.
700 1 _aSpiroff, Sandra.
700 1 _aTucker, Kevin.
700 1 _aVassilev, Janet C.,
_eeditor.
700 1 _aWatkins, John J.
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Complete English Language 2000-2014 PART1
_z9783110238570
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Mathematics English Language 2000-2014
_z9783110238471
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Mathematics 2000 - 2014
_z9783110637205
_oZDB-23-GMA
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012
_z9783110288995
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773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012
_z9783110293722
_oZDB-23-DMI
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012
_z9783110288926
_oZDB-23-DMP
776 0 _cprint
_z9783110278590
856 4 0 _uhttps://doi.org/10.1515/9783110278606
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/cover/covers/9783110278606.jpg
912 _a978-3-11-023847-1 DGBA Backlist Mathematics English Language 2000-2014
_c2000
_d2014
912 _aDGBA Backlist Complete English Language 2000-2014
_c2000
_d2014
912 _aGBV-deGruyter-alles
912 _aZDB-23-DGG
_b2012
912 _aZDB-23-DMI
_b2012
912 _aZDB-23-DMP
_b2012
912 _aZDB-23-GMA
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912 _aZDB-23-GOA
999 _c534957
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