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Lee, Gregory T., 1971-

Abstract algebra : an introductory course / [electronic resource] Gregory T. Lee - Cham, Switzerland : Springer, 2018 - 1 online resource (xi, 301 pages) : illustrations - Springer Undergraduate Mathematics Series, 1615-2085 . - Springer undergraduate mathematics series. .

Relations and functions -- The integers and modular arithmetic -- Groups --introduction to groups -- Factor groups and homomorphisms -- Direct products and the classification of finite abelian groups -- Symmetric and alternating groups -- The sylow theorems -- Rings -- Introduction to rings -- ideals, factor rings and homomorphisms -- Special types of domains -- Fields and polynomials -- Irreducible polynomials -- Vector spaces and field Eextensions -- Applications -- Public Key cryptography -- Straightedge and compass constructions -- A tThe complex numbers -- B Matrix algebra -- Solutions

ISBN: 9783319776491 (E-book)

Subjects--Topical Terms:
ALGEBRA, ABSTRACT
ASSOCIATIVE RINGS
RINGS (ALGEBRA)
ALGEBRA
GROUP THEORY
ALGEBRAIC FIELDS

LC Class. No.: QA 162 / L44A 2018