Basic abstract algebra P.B. Bhattacharya, S.K. Jain and S.R. Nagpaul.

By:

Bhattacharya, P. B [author]

Contributor(s):

Material type: Text

TextPublication details: New Delhi : Cambridge University Press, 2018Edition: 2nd editionDescription: xx, 487 pages : 22 cmISBN:

9780521545488

Subject(s):

DDC classification:

22 512.02 B469B-2

Contents:

pt. I. Preliminaries -- Sets and mappings -- Integers, real numbers, and complex numbers -- Matrices and determinants -- pt. II. Groups -- Groups -- Normal subgroups -- Normal series -- Permutation groups -- Structure theorems of groups -- pt. III. Rings and modules -- Rings -- Ideals and homomorphisms -- Unique factorization domains and euclidean domains -- Rings of fractions -- Integers -- Modules and vector spaces -- pt. IV. Field theory -- Algebraic extensions of fields -- Normal and separable extensions -- Galois theory -- Applications of Galios theory to classical problems -- pt. V. Additional topics -- Noetherian and Artinian modules and rings -- Smith normal form over a PID and rank -- Finitely generated modules over a PID -- Tensor products.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	512.02 B469B-2 (Browse shelf(Opens below))	Available		G016568

Gifted by NBHM

pt. I. Preliminaries --
Sets and mappings --
Integers, real numbers, and complex numbers --
Matrices and determinants --
pt. II. Groups --
Groups --
Normal subgroups --
Normal series --
Permutation groups --
Structure theorems of groups --
pt. III. Rings and modules --
Rings --
Ideals and homomorphisms --
Unique factorization domains and euclidean domains --
Rings of fractions --
Integers --
Modules and vector spaces --
pt. IV. Field theory --
Algebraic extensions of fields --
Normal and separable extensions --
Galois theory --
Applications of Galios theory to classical problems --
pt. V. Additional topics --
Noetherian and Artinian modules and rings --
Smith normal form over a PID and rank --
Finitely generated modules over a PID --
Tensor products.

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