Flat Covers of Modules

Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover ov...

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Xehetasun bibliografikoak
Egile nagusia: Xu, Jinzhong, 1958-
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Saila:Lecture notes in mathematics 1634
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
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Oharra: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Flat covers of modules, Jinzhong Xu, 1996, Berlin, Springer, 1 volume (X-161 pages), Lecture notes in mathematics, 3-540-61640-3
• Flat Covers of Modules, Texte imprimé, 9783662186992
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505 0 |a Envelopes and covers -- Fundamental theorems -- Flat covers and cotorsion envelopes -- Flat covers over commutative rings -- Applications in commutative rings. 
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520 |a Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. This book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover. It shows that Enochs' conjecture is true for a large variety of interesting rings, and then presents the applications of the results. Readers with reasonable knowledge in rings and modules will not have difficulty in reading this book. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in this field. 
650 |a Modules (algèbre) 
650 |a K-théorie 
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