313
Views
4
CrossRef citations to date
0
Altmetric
Original Article

Amalgamated algebras along an ideal defined by Gaussian conditionFootnote

&

References

  • H.PrüferUntersuchungen uber teilbarkeitseigenschaften in korpernJ. Reine Angew. Math.1681932136
  • S.BazzoniS.GlazGaussian properties of total rings of quotientsJ. Algebra3102007180193
  • H.TsangGauss’ Lemma1965University of ChicagoChicago (Ph.D. thesis)
  • S.GlazW.VasconcelosThe content of Gaussian polynomialsJ. Algebra202199819
  • S.GlazW.VasconcelosGaussian polynomialsLect. Notes Pure Appl. Math.1851997325337
  • W.HeinzerC.HunekeGaussian polynomials and content idealsProc. Am. Math. Soc.1251997739745
  • K.A.LoperM.RoitmanThe content of a Gaussian polynomial is invertibleProc. Am. Math. Soc.133200412671271
  • T.G.LucasGaussian polynomials and invertibilityProc. Am. Math. Soc.133200518811886
  • A.CorsoS.GlazGaussian ideals and the Dedekind-Mertens LemmaLect. Notes Pure Appl. Math.2172001131143
  • D.D.AndersonGCD domains, Gauss’ Lemma, and contents of polynomials, Non-Noetherian commutative ring theoryMath. Appl.5202000131
  • D.D.AndersonV.CamilloArmendariz rings and Gaussian ringsComm. Algebra26199822652272
  • S.GlazThe weak global dimension of Gaussian ringsProc. Am. Math. Soc.133200525072513
  • S.BazzoniS.GlazPrüfer Rings, Multiplicative Ideal Theory in Commutative Algebra2006SpringerNew York5572
  • C.BakkariS.KabbajN.MahdouTrivial extensions defined by Prüfer conditionsJ. Pure Appl. Algebra21420105360
  • J.AbuihlailM.JarrarS.KabbajCommutative rings in which every finitely generated ideal is quasiprojectiveJ. Pure Appl. Algebra215201125042511
  • M.ChhitiM.JarrarS.KabbajN.MahdouPrüfer conditions in an amalgameted duplication of a ring along an idealComm. Algebra2015 (in press)
  • L.FuchsUber die Ideale arithmetischer RingeComment. Math. Helv.231949334341
  • H.S.ButtsW.SmithPrüfer ringsMath. Z.951967196211
  • M.GriffinPrüfer rings with zero-divisorsJ. Reine Angew. Math.239/24019695567
  • S.GlazPrüfer conditions in rings with zero-divisorsCRC Press Ser. Lect. Pure Appl. Math.2412005272282
  • M.D’AnnaC.A.FinocchiaroM.FontanaAmalgamated Algebras Along an Ideal, Commutative Algebra and its Applications2009Walter de GruyterBerlin241252
  • M.D’AnnaC.A.FinocchiaroM.FontanaProperties of chains of prime ideals in amalgamated algebras along an idealJ. Pure Appl. Algebra214201016331641
  • M.D’AnnaA construction of Gorenstein ringsJ. Algebra3062006507519
  • M.D’AnnaM.FontanaThe amalgamated duplication of a ring along a multiplicative-canonical idealArkiv Mat.452007241252
  • M.D’AnnaM.FontanaAn amalgamated duplication of a ring along an ideal: the basic propertiesJ. Algebra Appl.62007443459
  • M.NagataLocal Rings1962InterscienceNew York
  • M.BoisenP.B.SheldonCPI-extensions: overrings of integral domains with special prime spectrumsCan. J. Math.291977722737
  • C.BakkariN.MahdouH.MouanisPrüfer-like conditions in subrings retract and applicationsComm. Algebra3720094755