01849nam a2200361 i 450099100071691970753620020507172651.0990601s1999 it b ||| | eng db10747357-39ule_instDip.to Matematicaeng511.6AMS 05-06Jha, Vikram66204The bella-muro lectures on translation planes /Vikram Jha and Norman L. JohnsonLecce :Università di Lecce, 1999v, 237 p. ;24 cmQuaderni del Dipartimento di matematica dell'Università di Lecce ;1/1999Scuola estiva di geometrie combinatorie 1997, Università della Basilicata - Università di Lecce.Pubblicato anche in formato elettronicoIncludes bibliographyCombinatoricsCongressesJohnson, Norman Lloydhttp://siba-ese.unisalento.it/index.php/quadmat/issue/view/781Versione elettronica (ESE - Salento University Publishing).b1074735723-02-1728-06-02991000716919707536LE013 QUA 1999 N.1 C.112013000116242le013-E0.00-l- 00000.i1083970728-06-02LE013 QUA 1999 N.1 C.222013000116259le013-E0.00-l- 00000.i1083971928-06-02LE013 QUA 1999 N.1 C.332013000116266le013-E0.00-l- 00000.i1083972028-06-02LE013 QUA 1999 N.1 C.442013000116273le013-E0.00-l- 00000.i1083973228-06-02LE013 QUA 1999 N.1 C.552013000116280le013-E0.00-l- 00000.i1083974428-06-02Bella-muro lectures on translation planes911720UNISALENTOle01301-01-99ma -engit 4504333nam 22006615 450 991088609050332120260113155808.0981-9752-84-110.1007/978-981-97-5284-3(MiAaPQ)EBC31642115(Au-PeEL)EBL31642115(CKB)34775346900041(MiAaPQ)EBC31643258(Au-PeEL)EBL31643258(DE-He213)978-981-97-5284-3(EXLCZ)993477534690004120240903d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFoundations of Commutative Rings and Their Modules /by Fanggui Wang, Hwankoo Kim2nd ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (862 pages)Algebra and Applications,2192-2950 ;31981-9752-83-3 Basic Theory of Rings and Modules -- Several Classical Module Classes in the Module Category -- Homological Methods -- Basic Theory of Noetherian Rings -- Extensions of Rings -- w-Modules over Rings -- Multiplicative Ideal Theory over Integral Domains -- Structural Theory of Milnor Squares -- Coherent Rings with Finite Weak Global Dimension -- Grothendieck Groups of Rings -- Relative Homological Algebra -- Cotorsion Theory.This book provides an introduction to the foundations and recent developments in commutative algebra. A look at the contents of the first five chapters shows that the topics covered are those usually found in any textbook on commutative algebra. However, this book differs significantly from most commutative algebra textbooks: namely in its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings, the valuative dimension, and the Nagata rings. Chapter 6 goes on to present w-modules over commutative rings, as they are most commonly used in torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of pullbacks, especially Milnor squares and D + M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings of finite weak global dimensions are probed, and the local ring of weak global dimension two is elaborated by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass–Quillen problem is discussed. Finally, Chapter 11 introduces relative homological algebra, especially where the related notions of integral domains appearing in classical ideal theory are defined and studied using the class of Gorenstein projective modules. In Chapter 12, in this new edition, properties of cotorsion theories are introduced and show, for any cotorsion pair, how to construct their homology theory. Each section of the book is followed by a selection of exercises of varying difficulty. This book appeals to a wide readership, from graduate students to academic researchers interested in studying commutative algebra.Algebra and Applications,2192-2950 ;31Commutative algebraCommutative ringsAlgebra, HomologicalCommutative Rings and AlgebrasCategory Theory, Homological AlgebraAnells commutatiusthubÀlgebra commutativathubMòduls (Àlgebra)thubLlibres electrònicsthubCommutative algebra.Commutative rings.Algebra, Homological.Commutative Rings and Algebras.Category Theory, Homological Algebra.Anells commutatiusÀlgebra commutativaMòduls (Àlgebra)512.44Wang Fanggui755915Kim Hwankoo755916MiAaPQMiAaPQMiAaPQBOOK9910886090503321Foundations of commutative rings and their modules1523345UNINA