6 edition of **Lectures on injective modules and quotient rings** found in the catalog.

Lectures on injective modules and quotient rings

Carl Clifton Faith

- 11 Want to read
- 20 Currently reading

Published
**1967**
by Springer-Verlag in Berlin, New York [etc.]
.

Written in English

- Quotient rings.,
- Injective modules (Algebra)

**Edition Notes**

Bibliography: p. 132-137.

Statement | by Carl Faith. |

Series | Lecture notes in mathematics,, 49, Lecture notes in mathematics (Springer-Verlag) ;, 49. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 49 |

The Physical Object | |

Pagination | xv, 140 p. |

Number of Pages | 140 |

ID Numbers | |

Open Library | OL5552066M |

LC Control Number | 67031680 |

Download books "Mathematics - Lectures". Ebook library | B–OK. Download books for free. Find books. Injective Modules and Injective Quotient Rings - CRC Press Book Injective Modules and Injective Quotient Rings 1st Edition. Faith. Paperback $ eBook $ eBook Rental Published Janu Reference - Pages ISBN - CAT# DK Series: Lecture Notes in Pure and Applied Mathematics For Instructors.

rich module theory over non-associative rings A. For this, Ais considered as module over the (associative) multiplication algebra M(A) and the category σ[A] is investigated. Also torsion modules over a topological ring and graded modules over a graded ring . The idea of writing this book came roughly at the time of publication of my graduate text Lectures on Modules and Rings, Springer GTM Vol. , Since that time, teaching obligations and intermittent intervention of other projects caused prolonged delays in the work on this volume. Only a lucky break in my schedule in enabled me to put the 5/5(1).

Author of Algebra: rings, modules and categories, Algebra, Rings And Things And A Fine Array Of Twentieth Century Associative Algebra (Mathematical Surveys and Monographs), Classification of commutative FPF rings, FPF ring theory, Algebra II, Lectures on injective modules and quotient rings, Lectures on injective modules and quotient rings. Books •There is a long list of recommended books in the schedules. •J.B. raleigh,F A First Course in Abstract Algebra •B. Hartley, T.O. Hawkes, Rings, Modules and Linear Algebra •.J.P Cameron, Intrductiono to Algebra •M. Artin, Algebra cturLee 1.

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Lectures on Injective Modules and Quotient Rings. Authors: Faith, Carl Free PreviewBrand: Springer-Verlag Berlin Heidelberg. Lectures on Injective Modules and Quotient Rings / Edition 1 available in Paperback. Add to Wishlist. ISBN ISBN Pub. Date: 01/01/ Publisher: Springer Berlin Heidelberg.

Lectures on Injective Modules and Quotient Rings / Edition 1. by Carl Faith in rings.- The endomorphism ring of a quasi-injective module Price: $ Injective Modules and Injective Quotient Rings (Lecture Notes in Pure and Applied Mathematics) 1st Edition by Carl Faith (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Cited by: Lectures on Injective Modules and Quotient Rings.

Authors; Carl Faith; Book. 99 Search within book. Front Matter. Pages I-XV. PDF. Injective modules. Carl Faith. Pages The endomorphism ring of a quasi-injective module.

Carl Faith. Pages Noetherian, artinian, and semisimple modules and rings. Carl Faith. Pages Lectures on Injective Modules and Quotient Rings | Carl Faith | download | B–OK.

Download books for free. Find books. Lectures on Rings and Modules Reprint Edition the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra.

Besides three appendices on further results, there is a six-page section of historical comments. Cited by: Lectures on injective modules and quotient rings.

Berlin, New York [etc.] Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Carl Faith. Get this from a library. Lectures on injective modules and quotient rings.

[Carl Faith]. Lectures on Modules and Rings (Graduate Texts in Mathematics) th Edition by Tsit-Yuen Lam (Author) out of 5 stars 3 ratings. ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: These are the rings in which every module is injective. This follows from this existence of injective envelopes. This is often proven using an injective producing lemma (as in this excerpt from Lam's Modules and Rings). Lam's textbook contains many examples of injective modules on surrounding pages.

The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra.

When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first by: Lectures on injective modules and quotient rings. Berlin, New York [etc.] Springer-Verlag, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Carl Faith.

Lectures on Modules and Rings. Authors: Lam, Tsit-Yuen Free Preview. Buy this book eB99 Projective, and Injective Modules.

Pages Book Title Lectures on Modules and Rings Authors. Tsit-Yuen Lam; Series Title Graduate Texts in Brand: Springer-Verlag New York. This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students.

The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained.

Lectures on Modules and Rings. Tsit-Yuen Lam. Springer Science & Business Media, - Mathematics - pages. 0 Reviews. Textbook writing must be one of the cruelest of self-inflicted tortures. Cite this chapter as: Faith C. () Injective modules. In: Lectures on Injective Modules and Quotient Rings.

Lecture Notes in Mathematics, vol This set of lecture notes is focused on the noncommutative aspects of the study of rings and modules.

It is intended to complement the book Steps in Commutative Algebra, by R. Sharp, which provides excellent coverage of the commutative theory. Faith C. () Noetherian, artinian, and semisimple modules and rings.

In: Lectures on Injective Modules and Quotient Rings. Lecture Notes in Mathematics, vol Author: Carl Faith. $\begingroup$ I am not really sure I understand what you are asking for: Is there possibly a mix up between modules and rings. More precisely, do you actually want to consider R (the direct product of fields) as a ring.

The most natural question along the lines of your question to me would be: for some ring R find an injective R-module M such that a quotient module M/N is not an injective.

Publisher of Humanities, Social Science & STEM Books Skip to main content. Free Standard Shipping. Injective Modules and Injective Quotient Rings By Faith. Paperback $ eBook $ ISBN Published Janu by CRC Press Pages. Cite this chapter as: Faith C. () Quasi-Injective modules. In: Lectures on Injective Modules and Quotient Rings.

Lecture Notes in Mathematics, vol Author: Carl Faith. Cite this chapter as: Faith C. () Maximal quotient rings. In: Lectures on Injective Modules and Quotient Rings. Lecture Notes in Mathematics, vol Cited by: 9.An outgrowth of the author’s lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classical Ring Theory (Springer, ) offer to the mathematics community the fullest and most comprehensive reference to date for problem solving in the theory of modules and by: