Injective Modules and Injective Quotient Rings, in two parts, is
the only book of its kind to combine commutative and noncommutative
ring theory. This unique and outstanding contribution to the
mathematical literature will immediately advance the studies of
mathematicians and graduate students in the field. Written by a
leading expert in the field, Injective Modules and Injective
Quotient Rings offers readers the key concepts and methods used in
both noncommutative and commutative ring theory. Part I provides
the first non-torsion-theory proof of the Teply-Miller theorem and
the first statement and proof of the converse of the
Teply-Miller-Hansen theorem. Many applications of these theorems to
the structure of rings and modules are given, including
generalizations of theorems of Cailleau-Beck and Matlis on the
structure of -injectives and commutative rings. Part II provides an
alternative approach to the solution of Kaplansky's problem on the
classification of FGC rings. Of particular importance is the
consistent use of noncommutative ring theoretical techniques
throughout Part II to obtain theorems lying purely in the domain of
commutative ring theory. Graduate students and mathematicians in
both commutative and noncommutative ring theory will learn from the
unique approach and new general methods in ring theory contained in
Injective Modules and Injective Quotient Rings.
General
| Imprint: |
Crc Press
|
| Country of origin: |
United Kingdom |
| Series: |
Lecture Notes in Pure and Applied Mathematics |
| Release date: |
December 2020 |
| First published: |
1982 |
| Authors: |
Carl Faith
|
| Dimensions: |
254 x 178mm (L x W) |
| Format: |
Hardcover
|
| Pages: |
120 |
| ISBN-13: |
978-1-138-40187-7 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
1-138-40187-0 |
| Barcode: |
9781138401877 |
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