|
" Abstract algebra : "
Dan Saracino.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
853584
|
| Main Entry
|
:
|
Saracino, Dan,1947-
|
| Title & Author
|
:
|
Abstract algebra : : a first course /\ Dan Saracino.
|
| Edition Statement
|
:
|
2nd ed.
|
| Publication Statement
|
:
|
Long Grove, Ill. :: Weveland Press,, ©2008.
|
| Page. NO
|
:
|
313 pages :: illustrations ;; 25 cm
|
| ISBN
|
:
|
1577665368
|
|
|
:
|
: 9781577665366
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (pages 297-299) and index.
|
| Contents
|
:
|
Sets and induction -- Binary operations -- Groups -- Fundamental theorems about groups -- Powers of an element ; cyclic groups -- Subgroups -- Direct products -- Functions -- Symmetric groups -- Equivalence relations ; cosets -- Counting the elements of a finite group -- Normal subgroups -- Homomorphisms -- Homomorphisms and normal subgroups -- Direct products and finite Abelian groups -- Sylow theorems -- Rings -- Subrings, ideals, and quotient rings -- Ring homomorphisms -- Polynomials -- From polynomials to fields -- Unique factorization domains -- Extensions of fields -- Constructions with straightedge and compass -- Normal and separable extensions -- Galois theory -- Solvability.
|
| Subject
|
:
|
Algebra, Abstract.
|
| Subject
|
:
|
Algebra, Abstract.
|
| LC Classification
|
:
|
QA162.S27 2008
|
| |