Last edited by Kajitaxe
Saturday, August 1, 2020 | History

8 edition of Flat covers of modules found in the catalog.

Flat covers of modules

by Jinzhong Xu

  • 155 Want to read
  • 33 Currently reading

Published by Springer in Berlin, London .
Written in English

    Subjects:
  • Modules (Algebra)

  • Edition Notes

    Includes bibliographical references (p. (153)-157) and index.

    StatementJinzhong Xu.
    SeriesLecture notes in mathematics -- 1634
    Classifications
    LC ClassificationsQA3, QA247.3
    The Physical Object
    Paginationx, 161p. ;
    Number of Pages161
    ID Numbers
    Open LibraryOL22343178M
    ISBN 103540616403

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Flat covers of modules by Jinzhong Xu Download PDF EPUB FB2

Buy Flat Covers of Modules (Lecture Notes in Mathematics) on rangelyautomuseum.com FREE SHIPPING on qualified ordersCited by: Definitions.

The homomorphism F→M is defined to be a flat cover of M if it is surjective, F is flat, every homomorphism from flat module to M factors through F, and any map from F to F commuting with the map to M is an automorphism of F.

History. While projective covers for modules do not always exist, it was speculated that for general rings, every module would have a flat cover. In the s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring.

Flat covers of modules book book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover.

Flat Covers of Modules. Summary: Since the injective envelope and projective cover were defined by Eckmann and Bas in the s, they have had great influence on the development of homological algebra, ring theory and module theory. Flat covers. While projective covers for modules do not always exist, it was speculated that for general rings, every module would have a flat cover, that is, every module M would be the epimorphic image of a flat module F such that every map from a flat module onto M factors through F, and any endomorphism of F.

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.

Flat Covers of Modules, Issue Jinzhong Xu. In the s, 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 rangelyautomuseum.com: Jinzhong Xu.

A natural question is whether a complex of flat modules exhibits similar behaviour. Although flat covers do exist for modules over any ring, due to Bican, El Bashir, and Enochs [6], it turns out. Fahrenheit by Ray BradburyA great example of effective flat book cover design is this 60th anniversary edition of Fahrenheit Here this classic novel appears modern and relevant.

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A home for your books. Enter what you’re reading or your whole library. It’s an easy, library-quality catalog. A community of 2, book lovers. Both pre-covers and covers are frequently named after the class.

So, flat covers are -covers with the class of flat modules in the category of modules. Pre-envelopes and envelopes are defined dually. Then this terminology agrees with the earlier terminology of injective envelopes and projective covers.

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This allows a single image to be spread across two pages. The hinged paper is an #80 cover stock, substantially heavier than our standard book paper. Oct 14,  · Cite this chapter as: Xu J. () Flat covers and cotorsion envelopes. In: Flat Covers of Modules. Lecture Notes in Mathematics, vol Cited by: 1.

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